556242048 has 96 divisors (see below), whose sum is σ = 1615187340. Its totient is φ = 183730176.

The previous prime is 556242031. The next prime is 556242059. The reversal of 556242048 is 840242655.

It is a happy number.

556242048 is a `hidden beast` number, since 5 + 5 + 624 + 20 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 453178944 + 103063104 = 21288^2 + 10152^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128040 + ... + 132312.

Almost surely, 2^556242048 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 556242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807593670).

556242048 is an abundant number, since it is smaller than the sum of its proper divisors (1058945292).

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

556242048 is a wasteful number, since it uses less digits than its factorization.

556242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4391 counting only the distinct ones).

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

The square root of 556242048 is about 23584.7842474762. The cubic root of 556242048 is about 822.4091592595.

The spelling of 556242048 in words is "five hundred fifty-six million, two hundred forty-two thousand, forty-eight".