258506280 has 96 divisors (see below), whose sum is σ = 843242400. Its totient is φ = 68681088.

The previous prime is 258506279. The next prime is 258506291. The reversal of 258506280 is 82605852.

258506280 is a `hidden beast` number, since 25 + 8 + 5 + 0 + 628 + 0 = 666.

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, 109351 + ... + 111689.

It is an arithmetic number, because the mean of its divisors is an integer number (8783775).

Almost surely, 2^258506280 is an apocalyptic number.

258506280 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 258506280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421621200).

258506280 is an abundant number, since it is smaller than the sum of its proper divisors (584736120).

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

258506280 is a wasteful number, since it uses less digits than its factorization.

258506280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 258506280 is about 16078.1304883373. The cubic root of 258506280 is about 637.0258157773.

The spelling of 258506280 in words is "two hundred fifty-eight million, five hundred six thousand, two hundred eighty".