258019264 has 112 divisors (see below), whose sum is σ = 561258720. Its totient is φ = 117411840.

The previous prime is 258019261. The next prime is 258019271. The reversal of 258019264 is 462910852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258019261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4229794 + ... + 4229854.

Almost surely, 2^258019264 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 258019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280629360).

258019264 is an abundant number, since it is smaller than the sum of its proper divisors (303239456).

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

258019264 is a wasteful number, since it uses less digits than its factorization.

258019264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 258019264 is about 16062.9780551428. The cubic root of 258019264 is about 636.6255201548.

The spelling of 258019264 in words is "two hundred fifty-eight million, nineteen thousand, two hundred sixty-four".