578580990 has 128 divisors (see below), whose sum is σ = 1538611200. Its totient is φ = 138378240.

The previous prime is 578580949. The next prime is 578581007. The reversal of 578580990 is 99085875.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2741985 + ... + 2742195.

It is an arithmetic number, because the mean of its divisors is an integer number (12020400).

Almost surely, 2^578580990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578580990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769305600).

578580990 is an abundant number, since it is smaller than the sum of its proper divisors (960030210).

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

578580990 is a wasteful number, since it uses less digits than its factorization.

578580990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 907200, while the sum is 51.

The square root of 578580990 is about 24053.7105245740. The cubic root of 578580990 is about 833.2744265916.

The spelling of 578580990 in words is "five hundred seventy-eight million, five hundred eighty thousand, nine hundred ninety".