258490000 has 50 divisors (see below), whose sum is σ = 625854350. Its totient is φ = 103392000.

The previous prime is 258489983. The next prime is 258490019. The reversal of 258490000 is 94852.

It is a happy number.

258490000 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 185831424 + 72658576 = 13632^2 + 8524^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2925 + ... + 22924.

It is an arithmetic number, because the mean of its divisors is an integer number (12517087).

Almost surely, 2^258490000 is an apocalyptic number.

258490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258490000 is an abundant number, since it is smaller than the sum of its proper divisors (367364350).

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

258490000 is an equidigital number, since it uses as much as digits as its factorization.

258490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25877 (or 25856 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 258490000 is about 16077.6242025991. The cubic root of 258490000 is about 637.0124427972.

The spelling of 258490000 in words is "two hundred fifty-eight million, four hundred ninety thousand".