557017920 has 336 divisors, whose sum is σ = 2099755008. Its totient is φ = 134922240.

The previous prime is 557017891. The next prime is 557017921. The reversal of 557017920 is 29710755.

557017920 is a `hidden beast` number, since 557 + 0 + 17 + 92 + 0 = 666.

It is a super-2 number, since 2×557017920² = 620537926402252800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557017921) 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, 1517577 + ... + 1517943.

Almost surely, 2^557017920 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 557017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049877504).

557017920 is an abundant number, since it is smaller than the sum of its proper divisors (1542737088).

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

557017920 is a wasteful number, since it uses less digits than its factorization.

557017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 557017920 is about 23601.2270867428. The cubic root of 557017920 is about 822.7913596551.

The spelling of 557017920 in words is "five hundred fifty-seven million, seventeen thousand, nine hundred twenty".