556467840 has 128 divisors (see below), whose sum is σ = 1970884800. Its totient is φ = 148386816.

The previous prime is 556467811. The next prime is 556467841. The reversal of 556467840 is 48764655.

556467840 is a `hidden beast` number, since 5 + 564 + 6 + 7 + 84 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (556467841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179 + ... + 33381.

Almost surely, 2^556467840 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 556467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985442400).

556467840 is an abundant number, since it is smaller than the sum of its proper divisors (1414416960).

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

556467840 is a wasteful number, since it uses less digits than its factorization.

556467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32231 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 556467840 is about 23589.5705768460. The cubic root of 556467840 is about 822.5204227459.

The spelling of 556467840 in words is "five hundred fifty-six million, four hundred sixty-seven thousand, eight hundred forty".