258303974400 has 792 divisors, whose sum is σ = 972704431920. Its totient is φ = 65399685120.

The previous prime is 258303974381. The next prime is 258303974413. The reversal of 258303974400 is 4479303852.

258303974400 is a `hidden beast` number, since 258 + 3 + 0 + 397 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447666912 + ... + 447667488.

Almost surely, 2^258303974400 is an apocalyptic number.

258303974400 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 258303974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486352215960).

258303974400 is an abundant number, since it is smaller than the sum of its proper divisors (714400457520).

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

258303974400 is a wasteful number, since it uses less digits than its factorization.

258303974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 258303974400 in words is "two hundred fifty-eight billion, three hundred three million, nine hundred seventy-four thousand, four hundred".