258514480 has 80 divisors (see below), whose sum is σ = 716811264. Its totient is φ = 84775680.

The previous prime is 258514453. The next prime is 258514493. The reversal of 258514480 is 84415852.

258514480 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 (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845 + ... + 22915.

Almost surely, 2^258514480 is an apocalyptic number.

258514480 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 258514480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358405632).

258514480 is an abundant number, since it is smaller than the sum of its proper divisors (458296784).

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

258514480 is a wasteful number, since it uses less digits than its factorization.

258514480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20114 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

The square root of 258514480 is about 16078.3854910871. The cubic root of 258514480 is about 637.0325513409.

The spelling of 258514480 in words is "two hundred fifty-eight million, five hundred fourteen thousand, four hundred eighty".