258807960 has 240 divisors, whose sum is σ = 915369840. Its totient is φ = 65577600.

The previous prime is 258807947. The next prime is 258807971. The reversal of 258807960 is 69708852.

258807960 is a `hidden beast` number, since 2 + 588 + 0 + 7 + 9 + 60 = 666.

258807960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1713885 + ... + 1714035.

It is an arithmetic number, because the mean of its divisors is an integer number (3814041).

Almost surely, 2^258807960 is an apocalyptic number.

258807960 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 258807960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457684920).

258807960 is an abundant number, since it is smaller than the sum of its proper divisors (656561880).

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

258807960 is a wasteful number, since it uses less digits than its factorization.

258807960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 258807960 is about 16087.5094405567. The cubic root of 258807960 is about 637.2735250896.

The spelling of 258807960 in words is "two hundred fifty-eight million, eight hundred seven thousand, nine hundred sixty".