258307920 has 160 divisors (see below), whose sum is σ = 958272000. Its totient is φ = 63576576.

The previous prime is 258307891. The next prime is 258307927. The reversal of 258307920 is 29703852.

It is a happy number.

258307920 is a `hidden beast` number, since 2 + 583 + 0 + 79 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258307927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23481 + ... + 32679.

It is an arithmetic number, because the mean of its divisors is an integer number (5989200).

Almost surely, 2^258307920 is an apocalyptic number.

258307920 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 258307920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479136000).

258307920 is an abundant number, since it is smaller than the sum of its proper divisors (699964080).

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

258307920 is a wasteful number, since it uses less digits than its factorization.

258307920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 258307920 is about 16071.9606769056. The cubic root of 258307920 is about 636.8628374353.

The spelling of 258307920 in words is "two hundred fifty-eight million, three hundred seven thousand, nine hundred twenty".