56405832 has 128 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 14860800.

The previous prime is 56405831. The next prime is 56405837. The reversal of 56405832 is 23850465.

It is a super-2 number, since 2×56405832² = 6363235767224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56405793 and 56405802.

It is not an unprimeable number, because it can be changed into a prime (56405831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130657 + ... + 131087.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^56405832 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 56405832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

56405832 is an abundant number, since it is smaller than the sum of its proper divisors (117776568).

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

56405832 is a wasteful number, since it uses less digits than its factorization.

56405832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 56405832 is about 7510.3816148049. The cubic root of 56405832 is about 383.5082137575.

The spelling of 56405832 in words is "fifty-six million, four hundred five thousand, eight hundred thirty-two".