258381480 has 128 divisors (see below), whose sum is σ = 899297280. Its totient is φ = 58164480.

The previous prime is 258381479. The next prime is 258381509. The reversal of 258381480 is 84183852.

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, 53985 + ... + 58575.

It is an arithmetic number, because the mean of its divisors is an integer number (7025760).

Almost surely, 2^258381480 is an apocalyptic number.

258381480 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 258381480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449648640).

258381480 is an abundant number, since it is smaller than the sum of its proper divisors (640915800).

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

258381480 is a wasteful number, since it uses less digits than its factorization.

258381480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 258381480 is about 16074.2489715694. The cubic root of 258381480 is about 636.9232862000.

The spelling of 258381480 in words is "two hundred fifty-eight million, three hundred eighty-one thousand, four hundred eighty".