258011264 has 96 divisors (see below), whose sum is σ = 617679360. Its totient is φ = 106928640.

The previous prime is 258011213. The next prime is 258011291. The reversal of 258011264 is 462110852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193769 + ... + 195095.

It is an arithmetic number, because the mean of its divisors is an integer number (6434160).

Almost surely, 2^258011264 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 258011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308839680).

258011264 is an abundant number, since it is smaller than the sum of its proper divisors (359668096).

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

258011264 is a wasteful number, since it uses less digits than its factorization.

258011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 258011264 is about 16062.7290333866. The cubic root of 258011264 is about 636.6189404694.

The spelling of 258011264 in words is "two hundred fifty-eight million, eleven thousand, two hundred sixty-four".