580290240 has 336 divisors, whose sum is σ = 2070238176. Its totient is φ = 137134080.

The previous prime is 580290233. The next prime is 580290259. The reversal of 580290240 is 42092085.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 580290198 and 580290207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15683502 + ... + 15683538.

Almost surely, 2^580290240 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 580290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035119088).

580290240 is an abundant number, since it is smaller than the sum of its proper divisors (1489947936).

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

580290240 is a wasteful number, since it uses less digits than its factorization.

580290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 580290240 is about 24089.2141839455. The cubic root of 580290240 is about 834.0941758865.

The spelling of 580290240 in words is "five hundred eighty million, two hundred ninety thousand, two hundred forty".