258064800 has 144 divisors (see below), whose sum is σ = 960063552. Its totient is φ = 58982400.

The previous prime is 258064799. The next prime is 258064813. The reversal of 258064800 is 8460852.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9120 + ... + 24480.

It is an arithmetic number, because the mean of its divisors is an integer number (6667108).

Almost surely, 2^258064800 is an apocalyptic number.

258064800 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 258064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480031776).

258064800 is an abundant number, since it is smaller than the sum of its proper divisors (701998752).

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

258064800 is a wasteful number, since it uses less digits than its factorization.

258064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15391 (or 15378 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 258064800 is about 16064.3954134602. The cubic root of 258064800 is about 636.6629691345.

The spelling of 258064800 in words is "two hundred fifty-eight million, sixty-four thousand, eight hundred".