258048360 has 96 divisors (see below), whose sum is σ = 861368040. Its totient is φ = 66949632.

The previous prime is 258048347. The next prime is 258048391. The reversal of 258048360 is 63840852.

258048360 is a `hidden beast` number, since 2 + 580 + 48 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228432996 + 29615364 = 15114^2 + 5442^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3634 + ... + 23006.

Almost surely, 2^258048360 is an apocalyptic number.

258048360 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 258048360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430684020).

258048360 is an abundant number, since it is smaller than the sum of its proper divisors (603319680).

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

258048360 is a wasteful number, since it uses less digits than its factorization.

258048360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19427 (or 19420 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258048360 is about 16063.8837147186. The cubic root of 258048360 is about 636.6494493241.

The spelling of 258048360 in words is "two hundred fifty-eight million, forty-eight thousand, three hundred sixty".