258585264 has 160 divisors (see below), whose sum is σ = 854231040. Its totient is φ = 73363968.

The previous prime is 258585253. The next prime is 258585277. The reversal of 258585264 is 462585852.

It is a happy number.

258585264 is a `hidden beast` number, since 2 + 5 + 8 + 585 + 2 + 64 = 666.

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, 704409 + ... + 704775.

It is an arithmetic number, because the mean of its divisors is an integer number (5338944).

Almost surely, 2^258585264 is an apocalyptic number.

258585264 is a gapful number since it is divisible by the number (24) 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 258585264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427115520).

258585264 is an abundant number, since it is smaller than the sum of its proper divisors (595645776).

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

258585264 is a wasteful number, since it uses less digits than its factorization.

258585264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 258585264 is about 16080.5865564662. The cubic root of 258585264 is about 637.0906881194.

The spelling of 258585264 in words is "two hundred fifty-eight million, five hundred eighty-five thousand, two hundred sixty-four".