258424680 has 128 divisors (see below), whose sum is σ = 808058880. Its totient is φ = 66044160.

The previous prime is 258424603. The next prime is 258424697. The reversal of 258424680 is 86424852.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472167 + ... + 472713.

It is an arithmetic number, because the mean of its divisors is an integer number (6312960).

Almost surely, 2^258424680 is an apocalyptic number.

258424680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258424680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404029440).

258424680 is an abundant number, since it is smaller than the sum of its proper divisors (549634200).

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

258424680 is a wasteful number, since it uses less digits than its factorization.

258424680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 258424680 is about 16075.5926795873. The cubic root of 258424680 is about 636.9587809429.

The spelling of 258424680 in words is "two hundred fifty-eight million, four hundred twenty-four thousand, six hundred eighty".