258134656 has 48 divisors (see below), whose sum is σ = 556900110. Its totient is φ = 119129088.

The previous prime is 258134623. The next prime is 258134659. The reversal of 258134656 is 656431852.

It can be written as a sum of positive squares in 3 ways, for example, as 177422400 + 80712256 = 13320^2 + 8984^2 .

It is not an unprimeable number, because it can be changed into a prime (258134659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15666 + ... + 27598.

Almost surely, 2^258134656 is an apocalyptic number.

258134656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278450055).

258134656 is an abundant number, since it is smaller than the sum of its proper divisors (298765454).

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

258134656 is a wasteful number, since it uses less digits than its factorization.

258134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973 (or 11948 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 258134656 is about 16066.5695156122. The cubic root of 258134656 is about 636.7204104128.

The spelling of 258134656 in words is "two hundred fifty-eight million, one hundred thirty-four thousand, six hundred fifty-six".