258980320 has 24 divisors (see below), whose sum is σ = 611841384. Its totient is φ = 103592064.

The previous prime is 258980303. The next prime is 258980321. The reversal of 258980320 is 23089852.

It is a super-2 number, since 2×258980320² = 134141612294604800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258980320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258980321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 809154 + ... + 809473.

It is an arithmetic number, because the mean of its divisors is an integer number (25493391).

Almost surely, 2^258980320 is an apocalyptic number.

258980320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258980320 is an abundant number, since it is smaller than the sum of its proper divisors (352861064).

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

258980320 is a wasteful number, since it uses less digits than its factorization.

258980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618642 (or 1618634 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 258980320 is about 16092.8654999661. The cubic root of 258980320 is about 637.4149634107.

The spelling of 258980320 in words is "two hundred fifty-eight million, nine hundred eighty thousand, three hundred twenty".