258484800 has 336 divisors, whose sum is σ = 995273600. Its totient is φ = 58705920.

The previous prime is 258484777. The next prime is 258484823. The reversal of 258484800 is 8484852.

It is an interprime number because it is at equal distance from previous prime (258484777) and next prime (258484823).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646322 + ... + 1646478.

Almost surely, 2^258484800 is an apocalyptic number.

258484800 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 258484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497636800).

258484800 is an abundant number, since it is smaller than the sum of its proper divisors (736788800).

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

258484800 is a wasteful number, since it uses less digits than its factorization.

258484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 258484800 is about 16077.4624863503. The cubic root of 258484800 is about 637.0081712110.

The spelling of 258484800 in words is "two hundred fifty-eight million, four hundred eighty-four thousand, eight hundred".