556300416 has 128 divisors (see below), whose sum is σ = 1696464000. Its totient is φ = 158220288.

The previous prime is 556300387. The next prime is 556300427. The reversal of 556300416 is 614003655.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937816 + ... + 938408.

It is an arithmetic number, because the mean of its divisors is an integer number (13253625).

Almost surely, 2^556300416 is an apocalyptic number.

556300416 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 556300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848232000).

556300416 is an abundant number, since it is smaller than the sum of its proper divisors (1140163584).

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

556300416 is a wasteful number, since it uses less digits than its factorization.

556300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 556300416 is about 23586.0216229868. The cubic root of 556300416 is about 822.4379241344.

The spelling of 556300416 in words is "five hundred fifty-six million, three hundred thousand, four hundred sixteen".