258347232 has 480 divisors, whose sum is σ = 968181984. Its totient is φ = 66355200.

The previous prime is 258347197. The next prime is 258347263. The reversal of 258347232 is 232743852.

258347232 is a `hidden beast` number, since 2 + 583 + 4 + 72 + 3 + 2 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6301132 + ... + 6301172.

Almost surely, 2^258347232 is an apocalyptic number.

258347232 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 258347232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484090992).

258347232 is an abundant number, since it is smaller than the sum of its proper divisors (709834752).

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

258347232 is a wasteful number, since it uses less digits than its factorization.

258347232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 258347232 is about 16073.1836298849. The cubic root of 258347232 is about 636.8951439449.

The spelling of 258347232 in words is "two hundred fifty-eight million, three hundred forty-seven thousand, two hundred thirty-two".