258474480 has 160 divisors (see below), whose sum is σ = 920298240. Its totient is φ = 59351040.

The previous prime is 258474473. The next prime is 258474523. The reversal of 258474480 is 84474852.

It is a super-2 number, since 2×258474480² = 133618113622540800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47584 + ... + 52736.

It is an arithmetic number, because the mean of its divisors is an integer number (5751864).

Almost surely, 2^258474480 is an apocalyptic number.

258474480 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 258474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460149120).

258474480 is an abundant number, since it is smaller than the sum of its proper divisors (661823760).

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

258474480 is a wasteful number, since it uses less digits than its factorization.

258474480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 258474480 is about 16077.1415369773. The cubic root of 258474480 is about 636.9996935858. Note that the first 3 decimals are identical.

The spelling of 258474480 in words is "two hundred fifty-eight million, four hundred seventy-four thousand, four hundred eighty".