580474440 has 576 divisors, whose sum is σ = 2466547200. Its totient is φ = 115734528.

The previous prime is 580474409. The next prime is 580474441. The reversal of 580474440 is 44474085.

580474440 is a `hidden beast` number, since 580 + 4 + 74 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 580474395 and 580474404.

It is not an unprimeable number, because it can be changed into a prime (580474441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12350497 + ... + 12350543.

It is an arithmetic number, because the mean of its divisors is an integer number (4282200).

Almost surely, 2^580474440 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 580474440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233273600).

580474440 is an abundant number, since it is smaller than the sum of its proper divisors (1886072760).

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

580474440 is a wasteful number, since it uses less digits than its factorization.

580474440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 580474440 is about 24093.0371684435. The cubic root of 580474440 is about 834.1824213212.

The spelling of 580474440 in words is "five hundred eighty million, four hundred seventy-four thousand, four hundred forty".