580055040 has 208 divisors, whose sum is σ = 2064132000. Its totient is φ = 154533888.

The previous prime is 580055033. The next prime is 580055041. The reversal of 580055040 is 40550085.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 580054995 and 580055013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580055041) 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, 552436 + ... + 553484.

Almost surely, 2^580055040 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 580055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032066000).

580055040 is an abundant number, since it is smaller than the sum of its proper divisors (1484076960).

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

580055040 is a wasteful number, since it uses less digits than its factorization.

580055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 580055040 is about 24084.3318362790. The cubic root of 580055040 is about 833.9814705267.

The spelling of 580055040 in words is "five hundred eighty million, fifty-five thousand, forty".