258503832 has 64 divisors (see below), whose sum is σ = 726768000. Its totient is φ = 85123872.

The previous prime is 258503827. The next prime is 258503837. The reversal of 258503832 is 238305852.

258503832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258503827) and next prime (258503837).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258503837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10719 + ... + 25137.

It is an arithmetic number, because the mean of its divisors is an integer number (11355750).

Almost surely, 2^258503832 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 258503832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363384000).

258503832 is an abundant number, since it is smaller than the sum of its proper divisors (468264168).

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

258503832 is a wasteful number, since it uses less digits than its factorization.

258503832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14517 (or 14507 counting only the distinct ones).

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

The square root of 258503832 is about 16078.0543599031. The cubic root of 258503832 is about 637.0238049375.

The spelling of 258503832 in words is "two hundred fifty-eight million, five hundred three thousand, eight hundred thirty-two".