556972416 has 768 divisors, whose sum is σ = 2344204800. Its totient is φ = 127733760.

The previous prime is 556972399. The next prime is 556972417. The reversal of 556972416 is 614279655.

556972416 is a `hidden beast` number, since 5 + 569 + 72 + 4 + 16 = 666.

Its product of digits (453600) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556972417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24216181 + ... + 24216203.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^556972416 is an apocalyptic number.

556972416 is a gapful number since it is divisible by the number (56) 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 556972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

556972416 is an abundant number, since it is smaller than the sum of its proper divisors (1787232384).

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

556972416 is a wasteful number, since it uses less digits than its factorization.

556972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 556972416 is about 23600.2630493815. The cubic root of 556972416 is about 822.7689538424.

The spelling of 556972416 in words is "five hundred fifty-six million, nine hundred seventy-two thousand, four hundred sixteen".