556960000 has 135 divisors (see below), whose sum is σ = 1413181231. Its totient is φ = 219008000.

The previous prime is 556959983. The next prime is 556960003. The reversal of 556960000 is 69655.

It is a happy number.

The square root of 556960000 is 23600.

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

It can be written as a sum of positive squares in 2 ways, for example, as 43665664 + 513294336 = 6608^2 + 22656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (556960003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9439971 + ... + 9440029.

Almost surely, 2^556960000 is an apocalyptic number.

556960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

556960000 is the 23600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556960000

556960000 is an abundant number, since it is smaller than the sum of its proper divisors (856221231).

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

556960000 is an frugal number, since it uses more digits than its factorization.

556960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The cubic root of 556960000 is about 822.7628400895.

Multiplying 556960000 by its product of nonzero digits (8100), we get a square (4511376000000 = 2124000²).

The spelling of 556960000 in words is "five hundred fifty-six million, nine hundred sixty thousand".