258652416 has 144 divisors (see below), whose sum is σ = 795590208. Its totient is φ = 73728000.

The previous prime is 258652409. The next prime is 258652441. The reversal of 258652416 is 614256852.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 142716 + ... + 144516.

It is an arithmetic number, because the mean of its divisors is an integer number (5524932).

Almost surely, 2^258652416 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 258652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397795104).

258652416 is an abundant number, since it is smaller than the sum of its proper divisors (536937792).

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

258652416 is a wasteful number, since it uses less digits than its factorization.

258652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1834 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 258652416 is about 16082.6744044640. The cubic root of 258652416 is about 637.1458320339.

The spelling of 258652416 in words is "two hundred fifty-eight million, six hundred fifty-two thousand, four hundred sixteen".