57456432 has 160 divisors (see below), whose sum is σ = 183202560. Its totient is φ = 17095680.

The previous prime is 57456431. The next prime is 57456433. The reversal of 57456432 is 23465475.

57456432 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (57456431) and next prime (57456433).

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

It is not an unprimeable number, because it can be changed into a prime (57456431) 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, 508408 + ... + 508520.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 2^57456432 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 57456432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91601280).

57456432 is an abundant number, since it is smaller than the sum of its proper divisors (125746128).

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

57456432 is a wasteful number, since it uses less digits than its factorization.

57456432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57456432 is about 7580.0021108176. The cubic root of 57456432 is about 385.8746225822.

The spelling of 57456432 in words is "fifty-seven million, four hundred fifty-six thousand, four hundred thirty-two".