557528400 has 720 divisors, whose sum is σ = 2460467520. Its totient is φ = 118195200.

The previous prime is 557528399. The next prime is 557528401. The reversal of 557528400 is 4825755.

It is a happy number.

557528400 is a `hidden beast` number, since 5 + 575 + 2 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (557528399) and next prime (557528401).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557528401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29343591 + ... + 29343609.

It is an arithmetic number, because the mean of its divisors is an integer number (3417316).

Almost surely, 2^557528400 is an apocalyptic number.

557528400 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 557528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230233760).

557528400 is an abundant number, since it is smaller than the sum of its proper divisors (1902939120).

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

557528400 is a wasteful number, since it uses less digits than its factorization.

557528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 557528400 is about 23612.0393020171. The cubic root of 557528400 is about 823.0426324147.

The spelling of 557528400 in words is "five hundred fifty-seven million, five hundred twenty-eight thousand, four hundred".