46321632 has 288 divisors, whose sum is σ = 167311872. Its totient is φ = 12317184.

The previous prime is 46321619. The next prime is 46321633. The reversal of 46321632 is 23612364.

46321632 is a `hidden beast` number, since 4 + 6 + 3 + 21 + 632 = 666.

46321632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×46321632² = 4291387182286848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5184) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 46321596 and 46321605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46321633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251918 + ... + 1251954.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 2^46321632 is an apocalyptic number.

46321632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).

46321632 is an abundant number, since it is smaller than the sum of its proper divisors (120990240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46321632 is a wasteful number, since it uses less digits than its factorization.

46321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 46321632 is about 6805.9997061416. Note that the first 3 decimals coincide. The cubic root of 46321632 is about 359.1379373365.

Adding to 46321632 its reverse (23612364), we get a palindrome (69933996).

The spelling of 46321632 in words is "forty-six million, three hundred twenty-one thousand, six hundred thirty-two".