258486480 has 120 divisors (see below), whose sum is σ = 992115072. Its totient is φ = 59081472.

The previous prime is 258486461. The next prime is 258486497. The reversal of 258486480 is 84684852.

258486480 is a `hidden beast` number, since 2 + 584 + 8 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20604 + ... + 30683.

Almost surely, 2^258486480 is an apocalyptic number.

258486480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258486480 is an abundant number, since it is smaller than the sum of its proper divisors (733628592).

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

258486480 is a wasteful number, since it uses less digits than its factorization.

258486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51313 (or 51304 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 258486480 is about 16077.5147333162. The cubic root of 258486480 is about 637.0095512682.

The spelling of 258486480 in words is "two hundred fifty-eight million, four hundred eighty-six thousand, four hundred eighty".