258413520 has 160 divisors (see below), whose sum is σ = 845660160. Its totient is φ = 65180160.

The previous prime is 258413497. The next prime is 258413537. The reversal of 258413520 is 25314852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349311 + ... + 350049.

It is an arithmetic number, because the mean of its divisors is an integer number (5285376).

Almost surely, 2^258413520 is an apocalyptic number.

258413520 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 258413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422830080).

258413520 is an abundant number, since it is smaller than the sum of its proper divisors (587246640).

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

258413520 is a wasteful number, since it uses less digits than its factorization.

258413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 258413520 is about 16075.2455657760. The cubic root of 258413520 is about 636.9496118466.

The spelling of 258413520 in words is "two hundred fifty-eight million, four hundred thirteen thousand, five hundred twenty".