258591960 has 128 divisors (see below), whose sum is σ = 940377600. Its totient is φ = 62686080.

The previous prime is 258591953. The next prime is 258591973. The reversal of 258591960 is 69195852.

258591960 is a `hidden beast` number, since 2 + 58 + 591 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 997 + ... + 22763.

It is an arithmetic number, because the mean of its divisors is an integer number (7346700).

Almost surely, 2^258591960 is an apocalyptic number.

258591960 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 258591960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470188800).

258591960 is an abundant number, since it is smaller than the sum of its proper divisors (681785640).

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

258591960 is a wasteful number, since it uses less digits than its factorization.

258591960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21798 (or 21788 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 258591960 is about 16080.7947564789. The cubic root of 258591960 is about 637.0961871727.

The spelling of 258591960 in words is "two hundred fifty-eight million, five hundred ninety-one thousand, nine hundred sixty".