557825400 has 192 divisors, whose sum is σ = 2096294400. Its totient is φ = 135216000.

The previous prime is 557825383. The next prime is 557825407. The reversal of 557825400 is 4528755.

It is a happy number.

It is a super-2 number, since 2×557825400² = 622338353770320000, 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 (557825407) 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, 54705 + ... + 64095.

It is an arithmetic number, because the mean of its divisors is an integer number (10918200).

Almost surely, 2^557825400 is an apocalyptic number.

557825400 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 557825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048147200).

557825400 is an abundant number, since it is smaller than the sum of its proper divisors (1538469000).

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

557825400 is a wasteful number, since it uses less digits than its factorization.

557825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 557825400 is about 23618.3276291951. The cubic root of 557825400 is about 823.1887536819.

The spelling of 557825400 in words is "five hundred fifty-seven million, eight hundred twenty-five thousand, four hundred".