258080000 has 90 divisors (see below), whose sum is σ = 644132874. Its totient is φ = 103168000.

The previous prime is 258079981. The next prime is 258080003. The reversal of 258080000 is 80852.

258080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 85525504 + 172554496 = 9248^2 + 13136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258080003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159194 + ... + 160806.

Almost surely, 2^258080000 is an apocalyptic number.

258080000 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 258080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322066437).

258080000 is an abundant number, since it is smaller than the sum of its proper divisors (386052874).

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

258080000 is an frugal number, since it uses more digits than its factorization.

258080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 258080000 is about 16064.8685024186. The cubic root of 258080000 is about 636.6754686916.

The spelling of 258080000 in words is "two hundred fifty-eight million, eighty thousand".