258920461800 has 2304 divisors, whose sum is σ = 1263519129600. Its totient is φ = 45718732800.

The previous prime is 258920461781. The next prime is 258920461831. The reversal of 258920461800 is 8164029852.

258920461800 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 20 + 4 + 618 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2419817347 + ... + 2419817453.

It is an arithmetic number, because the mean of its divisors is an integer number (548402400).

Almost surely, 2^258920461800 is an apocalyptic number.

258920461800 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 258920461800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631759564800).

258920461800 is an abundant number, since it is smaller than the sum of its proper divisors (1004598667800).

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

258920461800 is a wasteful number, since it uses less digits than its factorization.

258920461800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 258920461800 in words is "two hundred fifty-eight billion, nine hundred twenty million, four hundred sixty-one thousand, eight hundred".