258660864 has 360 divisors, whose sum is σ = 966464928. Its totient is φ = 67184640.

The previous prime is 258660863. The next prime is 258660893. The reversal of 258660864 is 468066852.

258660864 is a `hidden beast` number, since 2 + 586 + 6 + 0 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258660863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23514619 + ... + 23514629.

Almost surely, 2^258660864 is an apocalyptic number.

258660864 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 258660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483232464).

258660864 is an abundant number, since it is smaller than the sum of its proper divisors (707804064).

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

258660864 is an frugal number, since it uses more digits than its factorization.

258660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 258660864 is about 16082.9370452042. The cubic root of 258660864 is about 637.1527686910.

The spelling of 258660864 in words is "two hundred fifty-eight million, six hundred sixty thousand, eight hundred sixty-four".