258237480 has 128 divisors (see below), whose sum is σ = 828921600. Its totient is φ = 64131072.

The previous prime is 258237479. The next prime is 258237487. The reversal of 258237480 is 84732852.

It is not an unprimeable number, because it can be changed into a prime (258237487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209506 + ... + 210734.

It is an arithmetic number, because the mean of its divisors is an integer number (6475950).

Almost surely, 2^258237480 is an apocalyptic number.

258237480 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 258237480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414460800).

258237480 is an abundant number, since it is smaller than the sum of its proper divisors (570684120).

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

258237480 is a wasteful number, since it uses less digits than its factorization.

258237480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 258237480 is about 16069.7691333759. The cubic root of 258237480 is about 636.8049418087.

The spelling of 258237480 in words is "two hundred fifty-eight million, two hundred thirty-seven thousand, four hundred eighty".