258712992 has 144 divisors (see below), whose sum is σ = 759507840. Its totient is φ = 83506176.

The previous prime is 258712969. The next prime is 258712997. The reversal of 258712992 is 299217852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (181440) is a multiple of the sum of its prime factors (315).

It is not an unprimeable number, because it can be changed into a prime (258712997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1888348 + ... + 1888484.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 2^258712992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379753920).

258712992 is an abundant number, since it is smaller than the sum of its proper divisors (500794848).

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

258712992 is a wasteful number, since it uses less digits than its factorization.

258712992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 258712992 is about 16084.5575630789. The cubic root of 258712992 is about 637.1955676777.

The spelling of 258712992 in words is "two hundred fifty-eight million, seven hundred twelve thousand, nine hundred ninety-two".