556451840 has 144 divisors (see below), whose sum is σ = 1554543900. Its totient is φ = 190611456.

The previous prime is 556451809. The next prime is 556451869. The reversal of 556451840 is 48154655.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 472105984 + 84345856 = 21728^2 + 9184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 556451794 and 556451803.

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, 501206 + ... + 502314.

Almost surely, 2^556451840 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 556451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777271950).

556451840 is an abundant number, since it is smaller than the sum of its proper divisors (998092060).

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

556451840 is a wasteful number, since it uses less digits than its factorization.

556451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 556451840 is about 23589.2314414862. The cubic root of 556451840 is about 822.5125394195.

The spelling of 556451840 in words is "five hundred fifty-six million, four hundred fifty-one thousand, eight hundred forty".