46389672 has 144 divisors (see below), whose sum is σ = 151875360. Its totient is φ = 13226976.

The previous prime is 46389667. The next prime is 46389677. The reversal of 46389672 is 27698364.

46389672 is a `hidden beast` number, since 4 + 638 + 9 + 6 + 7 + 2 = 666.

46389672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46389667) and next prime (46389677).

It is a super-4 number, since 4×46389672⁴ (a number of 32 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46389677) 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 35 ways as a sum of consecutive naturals, for example, 95013 + ... + 95499.

It is an arithmetic number, because the mean of its divisors is an integer number (1054690).

Almost surely, 2^46389672 is an apocalyptic number.

46389672 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 46389672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75937680).

46389672 is an abundant number, since it is smaller than the sum of its proper divisors (105485688).

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

46389672 is a wasteful number, since it uses less digits than its factorization.

46389672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 499 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 46389672 is about 6810.9964028767. The cubic root of 46389672 is about 359.3136924479.

The spelling of 46389672 in words is "forty-six million, three hundred eighty-nine thousand, six hundred seventy-two".