258984144 has 120 divisors (see below), whose sum is σ = 747220032. Its totient is φ = 83704320.

The previous prime is 258984139. The next prime is 258984151. The reversal of 258984144 is 441489852.

It is a self number, because there is not a number n which added to its sum of digits gives 258984144.

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, 746179 + ... + 746525.

Almost surely, 2^258984144 is an apocalyptic number.

258984144 is a gapful number since it is divisible by the number (24) 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 258984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373610016).

258984144 is an abundant number, since it is smaller than the sum of its proper divisors (488235888).

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

258984144 is a wasteful number, since it uses less digits than its factorization.

258984144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 258984144 is about 16092.9843099408. The cubic root of 258984144 is about 637.4181006669.

The spelling of 258984144 in words is "two hundred fifty-eight million, nine hundred eighty-four thousand, one hundred forty-four".