556754400 has 216 divisors, whose sum is σ = 2001668760. Its totient is φ = 145566720.

The previous prime is 556754333. The next prime is 556754447. The reversal of 556754400 is 4457655.

It is a happy number.

556754400 is a `hidden beast` number, since 5 + 567 + 54 + 40 + 0 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380871 + ... + 382329.

It is an arithmetic number, because the mean of its divisors is an integer number (9266985).

Almost surely, 2^556754400 is an apocalyptic number.

556754400 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 556754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000834380).

556754400 is an abundant number, since it is smaller than the sum of its proper divisors (1444914360).

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

556754400 is a wasteful number, since it uses less digits than its factorization.

556754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 556754400 is about 23595.6436657278. The cubic root of 556754400 is about 822.6615875404.

The spelling of 556754400 in words is "five hundred fifty-six million, seven hundred fifty-four thousand, four hundred".