56466432 has 132 divisors (see below), whose sum is σ = 178187256. Its totient is φ = 17080320.

The previous prime is 56466427. The next prime is 56466433. The reversal of 56466432 is 23466465.

56466432 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56466433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101098 + ... + 101654.

Almost surely, 2^56466432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89093628).

56466432 is an abundant number, since it is smaller than the sum of its proper divisors (121720824).

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

56466432 is a wasteful number, since it uses less digits than its factorization.

56466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 573 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 56466432 is about 7514.4149472863. The cubic root of 56466432 is about 383.6455061792.

The spelling of 56466432 in words is "fifty-six million, four hundred sixty-six thousand, four hundred thirty-two".