556395840 has 672 divisors, whose sum is σ = 2582850816. Its totient is φ = 106168320.

The previous prime is 556395811. The next prime is 556395857. The reversal of 556395840 is 48593655.

556395840 = T₁₄₄ + T₁₄₅ + ... + T₁₄₉₄.

556395840 is a `hidden beast` number, since 5 + 5 + 63 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882784 + ... + 2882976.

It is an arithmetic number, because the mean of its divisors is an integer number (3843528).

Almost surely, 2^556395840 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 556395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291425408).

556395840 is an abundant number, since it is smaller than the sum of its proper divisors (2026454976).

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

556395840 is a wasteful number, since it uses less digits than its factorization.

556395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 556395840 is about 23588.0444293290. The cubic root of 556395840 is about 822.4849465869.

The spelling of 556395840 in words is "five hundred fifty-six million, three hundred ninety-five thousand, eight hundred forty".