556808400 has 90 divisors (see below), whose sum is σ = 1932292310. Its totient is φ = 148481280.

The previous prime is 556808393. The next prime is 556808401. The reversal of 556808400 is 4808655.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 111767184 + 445041216 = 10572^2 + 21096^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×556808400³ (a number of 27 digits) contains 333 as substring.

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 (556808401) 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, 73735 + ... + 80934.

Almost surely, 2^556808400 is an apocalyptic number.

556808400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

556808400 is an abundant number, since it is smaller than the sum of its proper divisors (1375483910).

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

556808400 is a wasteful number, since it uses less digits than its factorization.

556808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154693 (or 154679 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 556808400 is about 23596.7879170026. The cubic root of 556808400 is about 822.6881835222.

The spelling of 556808400 in words is "five hundred fifty-six million, eight hundred eight thousand, four hundred".