258796920 has 128 divisors (see below), whose sum is σ = 830269440. Its totient is φ = 64373760.

The previous prime is 258796883. The next prime is 258796927. The reversal of 258796920 is 29697852.

It is a self number, because there is not a number n which added to its sum of digits gives 258796920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258796927) 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, 112017 + ... + 114303.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2^258796920 is an apocalyptic number.

258796920 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 258796920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

258796920 is an abundant number, since it is smaller than the sum of its proper divisors (571472520).

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

258796920 is a wasteful number, since it uses less digits than its factorization.

258796920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 258796920 is about 16087.1663135557. The cubic root of 258796920 is about 637.2644635448.

The spelling of 258796920 in words is "two hundred fifty-eight million, seven hundred ninety-six thousand, nine hundred twenty".