557550400 has 168 divisors, whose sum is σ = 1519367040. Its totient is φ = 199680000.

The previous prime is 557550397. The next prime is 557550419. The reversal of 557550400 is 4055755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390200 + ... + 1390600.

Almost surely, 2^557550400 is an apocalyptic number.

557550400 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 557550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759683520).

557550400 is an abundant number, since it is smaller than the sum of its proper divisors (961816640).

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

557550400 is a wasteful number, since it uses less digits than its factorization.

557550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 31.

The square root of 557550400 is about 23612.5051614605. The cubic root of 557550400 is about 823.0534579916.

The spelling of 557550400 in words is "five hundred fifty-seven million, five hundred fifty thousand, four hundred".