557474400 has 360 divisors, whose sum is σ = 2325319920. Its totient is φ = 127319040.

The previous prime is 557474369. The next prime is 557474429. The reversal of 557474400 is 4474755.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 452986 + ... + 454214.

It is an arithmetic number, because the mean of its divisors is an integer number (6459222).

Almost surely, 2^557474400 is an apocalyptic number.

557474400 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 557474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162659960).

557474400 is an abundant number, since it is smaller than the sum of its proper divisors (1767845520).

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

557474400 is a wasteful number, since it uses less digits than its factorization.

557474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 557474400 is about 23610.8957898679. The cubic root of 557474400 is about 823.0160593366.

It can be divided in two parts, 5574 and 74400, that multiplied together give a triangular number (414705600 = T₂₈₇₉₉).

The spelling of 557474400 in words is "five hundred fifty-seven million, four hundred seventy-four thousand, four hundred".