557293400 has 48 divisors (see below), whose sum is σ = 1307226600. Its totient is φ = 220935680.

The previous prime is 557293397. The next prime is 557293423. The reversal of 557293400 is 4392755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10271 + ... + 34929.

Almost surely, 2^557293400 is an apocalyptic number.

557293400 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 557293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653613300).

557293400 is an abundant number, since it is smaller than the sum of its proper divisors (749933200).

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

557293400 is a wasteful number, since it uses less digits than its factorization.

557293400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24788 (or 24779 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 557293400 is about 23607.0625025648. The cubic root of 557293400 is about 822.9269777981.

The spelling of 557293400 in words is "five hundred fifty-seven million, two hundred ninety-three thousand, four hundred".