46416132 has 120 divisors (see below), whose sum is σ = 141170400. Its totient is φ = 13187664.

The previous prime is 46416127. The next prime is 46416133. The reversal of 46416132 is 23161464.

46416132 is a `hidden beast` number, since 4 + 6 + 41 + 613 + 2 = 666.

46416132 is nontrivially palindromic in base 13.

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.

It is a junction number, because it is equal to n+sod(n) for n = 46416096 and 46416105.

It is not an unprimeable number, because it can be changed into a prime (46416133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259219 + ... + 259397.

It is an arithmetic number, because the mean of its divisors is an integer number (1176420).

Almost surely, 2^46416132 is an apocalyptic number.

46416132 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 46416132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70585200).

46416132 is an abundant number, since it is smaller than the sum of its proper divisors (94754268).

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

46416132 is a wasteful number, since it uses less digits than its factorization.

46416132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 46416132 is about 6812.9385730388. The cubic root of 46416132 is about 359.3819952463.

Adding to 46416132 its reverse (23161464), we get a palindrome (69577596).

The spelling of 46416132 in words is "forty-six million, four hundred sixteen thousand, one hundred thirty-two".