557880840 has 192 divisors, whose sum is σ = 2094543360. Its totient is φ = 127272960.

The previous prime is 557880787. The next prime is 557880863. The reversal of 557880840 is 48088755.

It is a super-2 number, since 2×557880840² = 622462063278211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 63177 + ... + 71463.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2^557880840 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 557880840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047271680).

557880840 is an abundant number, since it is smaller than the sum of its proper divisors (1536662520).

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

557880840 is a wasteful number, since it uses less digits than its factorization.

557880840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 557880840 is about 23619.5012648447. The cubic root of 557880840 is about 823.2160239070.

The spelling of 557880840 in words is "five hundred fifty-seven million, eight hundred eighty thousand, eight hundred forty".