258087974400 has 720 divisors, whose sum is σ = 988687025040. Its totient is φ = 64099123200.

The previous prime is 258087974393. The next prime is 258087974423. The reversal of 258087974400 is 4479780852.

It is a happy number.

258087974400 is a `hidden beast` number, since 25 + 80 + 8 + 79 + 74 + 400 = 666.

258087974400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133515834 + ... + 133517766.

Almost surely, 2^258087974400 is an apocalyptic number.

258087974400 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 258087974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494343512520).

258087974400 is an abundant number, since it is smaller than the sum of its proper divisors (730599050640).

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

258087974400 is a wasteful number, since it uses less digits than its factorization.

258087974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 258087974400 in words is "two hundred fifty-eight billion, eighty-seven million, nine hundred seventy-four thousand, four hundred".