258516432 has 90 divisors (see below), whose sum is σ = 763722882. Its totient is φ = 81620352.

The previous prime is 258516383. The next prime is 258516443. The reversal of 258516432 is 234615852.

258516432 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 1 + 643 + 2 = 666.

258516432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 233356176 + 25160256 = 15276^2 + 5016^2 .

It is a super-2 number, since 2×258516432² = 133661491228021248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49498 + ... + 54470.

Almost surely, 2^258516432 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 258516432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381861441).

258516432 is an abundant number, since it is smaller than the sum of its proper divisors (505206450).

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

258516432 is a wasteful number, since it uses less digits than its factorization.

258516432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 4997 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 258516432 is about 16078.4461935848. The cubic root of 258516432 is about 637.0341547126.

It can be divided in two parts, 25851643 and 2, that added together give a triangular number (25851645 = T₇₁₉₀).

The spelling of 258516432 in words is "two hundred fifty-eight million, five hundred sixteen thousand, four hundred thirty-two".