258004800 has 504 divisors, whose sum is σ = 1031808960. Its totient is φ = 60825600.

The previous prime is 258004783. The next prime is 258004867. The reversal of 258004800 is 8400852.

258004800 is a `hidden beast` number, since 2 + 580 + 0 + 4 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6292780 + ... + 6292820.

It is an arithmetic number, because the mean of its divisors is an integer number (2047240).

Almost surely, 2^258004800 is an apocalyptic number.

258004800 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 258004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515904480).

258004800 is an abundant number, since it is smaller than the sum of its proper divisors (773804160).

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

258004800 is a wasteful number, since it uses less digits than its factorization.

258004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 258004800 is about 16062.5278209876. The cubic root of 258004800 is about 636.6136239842.

The spelling of 258004800 in words is "two hundred fifty-eight million, four thousand, eight hundred".