258492480 has 224 divisors, whose sum is σ = 890113536. Its totient is φ = 63307776.

The previous prime is 258492467. The next prime is 258492517. The reversal of 258492480 is 84294852.

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

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, 766872 + ... + 767208.

Almost surely, 2^258492480 is an apocalyptic number.

258492480 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 258492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445056768).

258492480 is an abundant number, since it is smaller than the sum of its proper divisors (631621056).

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

258492480 is a wasteful number, since it uses less digits than its factorization.

258492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 258492480 is about 16077.7013282372. The cubic root of 258492480 is about 637.0144799950.

The spelling of 258492480 in words is "two hundred fifty-eight million, four hundred ninety-two thousand, four hundred eighty".