258103296 has 288 divisors, whose sum is σ = 868795200. Its totient is φ = 72990720.

The previous prime is 258103289. The next prime is 258103319. The reversal of 258103296 is 692301852.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×258103296² = 133234622812127232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 258103296.

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, 3852255 + ... + 3852321.

It is an arithmetic number, because the mean of its divisors is an integer number (3016650).

Almost surely, 2^258103296 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 258103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434397600).

258103296 is an abundant number, since it is smaller than the sum of its proper divisors (610691904).

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

258103296 is a wasteful number, since it uses less digits than its factorization.

258103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 258103296 is about 16065.5935464582. The cubic root of 258103296 is about 636.6946249551.

The spelling of 258103296 in words is "two hundred fifty-eight million, one hundred three thousand, two hundred ninety-six".