556294752 has 144 divisors (see below), whose sum is σ = 1758976128. Its totient is φ = 165611520.

The previous prime is 556294729. The next prime is 556294759. The reversal of 556294752 is 257492655.

556294752 is a `hidden beast` number, since 556 + 2 + 9 + 47 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×556294752² = 618927702205483008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 556294698 and 556294707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556294759) 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, 113668 + ... + 118460.

It is an arithmetic number, because the mean of its divisors is an integer number (12215112).

Almost surely, 2^556294752 is an apocalyptic number.

556294752 is a gapful number since it is divisible by the number (52) 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 556294752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879488064).

556294752 is an abundant number, since it is smaller than the sum of its proper divisors (1202681376).

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

556294752 is a wasteful number, since it uses less digits than its factorization.

556294752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4842 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 556294752 is about 23585.9015515625. The cubic root of 556294752 is about 822.4351328943.

The spelling of 556294752 in words is "five hundred fifty-six million, two hundred ninety-four thousand, seven hundred fifty-two".