556016400 has 225 divisors, whose sum is σ = 2010847333. Its totient is φ = 147139200.

The previous prime is 556016393. The next prime is 556016429. The reversal of 556016400 is 4610655.

It is a happy number.

The square root of 556016400 is 23580.

It is a perfect power (a square), and thus also a powerful number.

556016400 is a `hidden beast` number, since 55 + 601 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200165904 + 355850496 = 14148^2 + 18864^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4244335 + ... + 4244465.

Almost surely, 2^556016400 is an apocalyptic number.

556016400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

556016400 is the 23580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556016400

556016400 is an abundant number, since it is smaller than the sum of its proper divisors (1454830933).

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

556016400 is a wasteful number, since it uses less digits than its factorization.

556016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 556016400 is about 822.2979366469.

Multiplying 556016400 by its product of nonzero digits (3600), we get a square (2001659040000 = 1414800²).

556016400 divided by its product of nonzero digits (3600) gives a square (154449 = 393²).

It can be divided in two parts, 55601 and 6400, that added together give a square (62001 = 249²).

The spelling of 556016400 in words is "five hundred fifty-six million, sixteen thousand, four hundred".