557948160 has 864 divisors, whose sum is σ = 2617235712. Its totient is φ = 106168320.

The previous prime is 557948159. The next prime is 557948173. The reversal of 557948160 is 61849755.

557948160 is a `hidden beast` number, since 557 + 94 + 8 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×557948160² = 622612298494771200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079662 + ... + 15079698.

It is an arithmetic number, because the mean of its divisors is an integer number (3029208).

Almost surely, 2^557948160 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 557948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308617856).

557948160 is an abundant number, since it is smaller than the sum of its proper divisors (2059287552).

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

557948160 is a wasteful number, since it uses less digits than its factorization.

557948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

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

The square root of 557948160 is about 23620.9263154517. The cubic root of 557948160 is about 823.2491353230.

The spelling of 557948160 in words is "five hundred fifty-seven million, nine hundred forty-eight thousand, one hundred sixty".