258217632 has 84 divisors (see below), whose sum is σ = 762269130. Its totient is φ = 86064768.

The previous prime is 258217613. The next prime is 258217633. The reversal of 258217632 is 236712852.

258217632 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 17 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 252047376 + 6170256 = 15876^2 + 2484^2 .

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

It is not an unprimeable number, because it can be changed into a prime (258217633) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 17794 + ... + 28862.

Almost surely, 2^258217632 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 258217632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381134565).

258217632 is an abundant number, since it is smaller than the sum of its proper divisors (504051498).

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

258217632 is an equidigital number, since it uses as much as digits as its factorization.

258217632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097 (or 11074 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 258217632 is about 16069.1515644106. The cubic root of 258217632 is about 636.7886265571.

The spelling of 258217632 in words is "two hundred fifty-eight million, two hundred seventeen thousand, six hundred thirty-two".