258735960 has 96 divisors (see below), whose sum is σ = 961028640. Its totient is φ = 59139072.

The previous prime is 258735949. The next prime is 258735989. The reversal of 258735960 is 69537852.

It is a happy number.

258735960 is a `hidden beast` number, since 2 + 58 + 7 + 3 + 596 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 48817 + ... + 53856.

It is an arithmetic number, because the mean of its divisors is an integer number (10010715).

Almost surely, 2^258735960 is an apocalyptic number.

258735960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258735960 is an abundant number, since it is smaller than the sum of its proper divisors (702292680).

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

258735960 is a wasteful number, since it uses less digits than its factorization.

258735960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102697 (or 102690 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 258735960 is about 16085.2715239750. The cubic root of 258735960 is about 637.2144234177.

The spelling of 258735960 in words is "two hundred fifty-eight million, seven hundred thirty-five thousand, nine hundred sixty".