258091960 has 128 divisors (see below), whose sum is σ = 715392000. Its totient is φ = 81782784.

The previous prime is 258091879. The next prime is 258091969. The reversal of 258091960 is 69190852.

It is a super-2 number, since 2×258091960² = 133222919633283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258091969) 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, 280381 + ... + 281299.

It is an arithmetic number, because the mean of its divisors is an integer number (5589000).

Almost surely, 2^258091960 is an apocalyptic number.

258091960 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 258091960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357696000).

258091960 is an abundant number, since it is smaller than the sum of its proper divisors (457300040).

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

258091960 is a wasteful number, since it uses less digits than its factorization.

258091960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 258091960 is about 16065.2407389370. The cubic root of 258091960 is about 636.6853035244.

The spelling of 258091960 in words is "two hundred fifty-eight million, ninety-one thousand, nine hundred sixty".