557288400 has 240 divisors, whose sum is σ = 1875379968. Its totient is φ = 141312000.

The previous prime is 557288387. The next prime is 557288419. The reversal of 557288400 is 4882755.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2312280 + ... + 2312520.

Almost surely, 2^557288400 is an apocalyptic number.

557288400 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 557288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937689984).

557288400 is an abundant number, since it is smaller than the sum of its proper divisors (1318091568).

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

557288400 is a wasteful number, since it uses less digits than its factorization.

557288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 557288400 is about 23606.9566018155. The cubic root of 557288400 is about 822.9245167084.

The spelling of 557288400 in words is "five hundred fifty-seven million, two hundred eighty-eight thousand, four hundred".