557894400 has 324 divisors, whose sum is σ = 2145378312. Its totient is φ = 127303680.

The previous prime is 557894387. The next prime is 557894413. The reversal of 557894400 is 4498755.

It is an interprime number because it is at equal distance from previous prime (557894387) and next prime (557894413).

It is a super-2 number, since 2×557894400² = 622492323102720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940504 + ... + 941096.

It is an arithmetic number, because the mean of its divisors is an integer number (6621538).

Almost surely, 2^557894400 is an apocalyptic number.

557894400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072689156).

557894400 is an abundant number, since it is smaller than the sum of its proper divisors (1587483912).

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

557894400 is a wasteful number, since it uses less digits than its factorization.

557894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 557894400 is about 23619.7883140387. The cubic root of 557894400 is about 823.2226936222. Note that the first 3 decimals are identical.

The spelling of 557894400 in words is "five hundred fifty-seven million, eight hundred ninety-four thousand, four hundred".