258760992 has 96 divisors (see below), whose sum is σ = 778982400. Its totient is φ = 73675008.

The previous prime is 258760987. The next prime is 258761021. The reversal of 258760992 is 299067852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×258760992³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281109 + ... + 282027.

It is an arithmetic number, because the mean of its divisors is an integer number (8114400).

Almost surely, 2^258760992 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 258760992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389491200).

258760992 is an abundant number, since it is smaller than the sum of its proper divisors (520221408).

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

258760992 is a wasteful number, since it uses less digits than its factorization.

258760992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 258760992 is about 16086.0496082786. The cubic root of 258760992 is about 637.2349723421.

The spelling of 258760992 in words is "two hundred fifty-eight million, seven hundred sixty thousand, nine hundred ninety-two".