557359400 has 72 divisors (see below), whose sum is σ = 1398562830. Its totient is φ = 205349760.

The previous prime is 557359393. The next prime is 557359403. The reversal of 557359400 is 4953755.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 309548836 + 247810564 = 17594^2 + 15742^2 .

It is not an unprimeable number, because it can be changed into a prime (557359403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1203569 + ... + 1204031.

Almost surely, 2^557359400 is an apocalyptic number.

557359400 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 557359400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699281415).

557359400 is an abundant number, since it is smaller than the sum of its proper divisors (841203430).

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

557359400 is a wasteful number, since it uses less digits than its factorization.

557359400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 38.

The square root of 557359400 is about 23608.4603479346. The cubic root of 557359400 is about 822.9594628031.

The spelling of 557359400 in words is "five hundred fifty-seven million, three hundred fifty-nine thousand, four hundred".