557676432 has 240 divisors, whose sum is σ = 1746531072. Its totient is φ = 165335040.

The previous prime is 557676401. The next prime is 557676433. The reversal of 557676432 is 234676755.

557676432 is a `hidden beast` number, since 5 + 576 + 76 + 4 + 3 + 2 = 666.

557676432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557676432² = 622006005616501248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557676433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4257007 + ... + 4257137.

Almost surely, 2^557676432 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 557676432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873265536).

557676432 is an abundant number, since it is smaller than the sum of its proper divisors (1188854640).

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

557676432 is a wasteful number, since it uses less digits than its factorization.

557676432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 557676432 is about 23615.1737660344. The cubic root of 557676432 is about 823.1154692815.

The spelling of 557676432 in words is "five hundred fifty-seven million, six hundred seventy-six thousand, four hundred thirty-two".