258782832 has 120 divisors (see below), whose sum is σ = 902977920. Its totient is φ = 67213440.

The previous prime is 258782827. The next prime is 258782861. The reversal of 258782832 is 238287852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (7524816).

Almost surely, 2^258782832 is an apocalyptic number.

258782832 is a gapful number since it is divisible by the number (22) 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 258782832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451488960).

258782832 is an abundant number, since it is smaller than the sum of its proper divisors (644195088).

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

258782832 is a wasteful number, since it uses less digits than its factorization.

258782832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23371 (or 23362 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 258782832 is about 16086.7284430365. The cubic root of 258782832 is about 637.2528998514.

The spelling of 258782832 in words is "two hundred fifty-eight million, seven hundred eighty-two thousand, eight hundred thirty-two".