556799040 has 336 divisors, whose sum is σ = 2225283840. Its totient is φ = 125153280.

The previous prime is 556799021. The next prime is 556799057. The reversal of 556799040 is 40997655.

It is a happy number.

556799040 is a `hidden beast` number, since 556 + 7 + 9 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431166 + ... + 1431554.

Almost surely, 2^556799040 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 556799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112641920).

556799040 is an abundant number, since it is smaller than the sum of its proper divisors (1668484800).

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

556799040 is a wasteful number, since it uses less digits than its factorization.

556799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 556799040 is about 23596.5895840903. The cubic root of 556799040 is about 822.6835736752.

The spelling of 556799040 in words is "five hundred fifty-six million, seven hundred ninety-nine thousand, forty".