556224480 has 216 divisors, whose sum is σ = 2208292632. Its totient is φ = 127120896.

The previous prime is 556224469. The next prime is 556224497. The reversal of 556224480 is 84422655.

It is a happy number.

556224480 is a `hidden beast` number, since 556 + 2 + 24 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66619 + ... + 74501.

It is an arithmetic number, because the mean of its divisors is an integer number (10223577).

Almost surely, 2^556224480 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 556224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104146316).

556224480 is an abundant number, since it is smaller than the sum of its proper divisors (1652068152).

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

556224480 is a wasteful number, since it uses less digits than its factorization.

556224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7918 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 556224480 is about 23584.4118010181. The cubic root of 556224480 is about 822.4005010166.

The spelling of 556224480 in words is "five hundred fifty-six million, two hundred twenty-four thousand, four hundred eighty".