556450560 has 216 divisors, whose sum is σ = 1997682960. Its totient is φ = 148303872.

The previous prime is 556450529. The next prime is 556450561. The reversal of 556450560 is 65054655.

It is a happy number.

556450560 is a `hidden beast` number, since 5 + 5 + 645 + 0 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (556450561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310146 + ... + 311934.

Almost surely, 2^556450560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998841480).

556450560 is an abundant number, since it is smaller than the sum of its proper divisors (1441232400).

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

556450560 is an equidigital number, since it uses as much as digits as its factorization.

556450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 556450560 is about 23589.2043104468. The cubic root of 556450560 is about 822.5119087469.

The spelling of 556450560 in words is "five hundred fifty-six million, four hundred fifty thousand, five hundred sixty".