258285360 has 80 divisors (see below), whose sum is σ = 803636064. Its totient is φ = 68622336.

The previous prime is 258285347. The next prime is 258285383. The reversal of 258285360 is 63582852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×258285360² = 133422654380659200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68484 + ... + 72156.

Almost surely, 2^258285360 is an apocalyptic number.

258285360 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 258285360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401818032).

258285360 is an abundant number, since it is smaller than the sum of its proper divisors (545350704).

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

258285360 is a wasteful number, since it uses less digits than its factorization.

258285360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 258285360 is about 16071.2588181511. The cubic root of 258285360 is about 636.8442961998.

The spelling of 258285360 in words is "two hundred fifty-eight million, two hundred eighty-five thousand, three hundred sixty".