258906960 has 240 divisors, whose sum is σ = 947856000. Its totient is φ = 62954496.

The previous prime is 258906887. The next prime is 258906971. The reversal of 258906960 is 69609852.

258906960 is a `hidden beast` number, since 2 + 589 + 0 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1300941 + ... + 1301139.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2^258906960 is an apocalyptic number.

258906960 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 258906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473928000).

258906960 is an abundant number, since it is smaller than the sum of its proper divisors (688949040).

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

258906960 is a wasteful number, since it uses less digits than its factorization.

258906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 258906960 is about 16090.5860676359. The cubic root of 258906960 is about 637.3547719933.

The spelling of 258906960 in words is "two hundred fifty-eight million, nine hundred six thousand, nine hundred sixty".