557814960 has 120 divisors (see below), whose sum is σ = 1924050960. Its totient is φ = 144723456.

The previous prime is 557814949. The next prime is 557814991. The reversal of 557814960 is 69418755.

557814960 is a `hidden beast` number, since 5 + 578 + 14 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×557814960² = 622315059199603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16171 + ... + 37109.

It is an arithmetic number, because the mean of its divisors is an integer number (16033758).

Almost surely, 2^557814960 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 557814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962025480).

557814960 is an abundant number, since it is smaller than the sum of its proper divisors (1366236000).

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

557814960 is a wasteful number, since it uses less digits than its factorization.

557814960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20995 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 557814960 is about 23618.1066133592. The cubic root of 557814960 is about 823.1836181776.

The spelling of 557814960 in words is "five hundred fifty-seven million, eight hundred fourteen thousand, nine hundred sixty".