557871264 has 72 divisors (see below), whose sum is σ = 1590013152. Its totient is φ = 185539200.

The previous prime is 557871263. The next prime is 557871271. The reversal of 557871264 is 462178755.

557871264 is a `hidden beast` number, since 5 + 578 + 7 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×557871264² = 622440694393915392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557871263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142939 + ... + 146789.

It is an arithmetic number, because the mean of its divisors is an integer number (22083516).

Almost surely, 2^557871264 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 557871264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795006576).

557871264 is an abundant number, since it is smaller than the sum of its proper divisors (1032141888).

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

557871264 is a wasteful number, since it uses less digits than its factorization.

557871264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4359 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 557871264 is about 23619.2985501263. The cubic root of 557871264 is about 823.2113137245.

The spelling of 557871264 in words is "five hundred fifty-seven million, eight hundred seventy-one thousand, two hundred sixty-four".