258606432 has 144 divisors (see below), whose sum is σ = 871782912. Its totient is φ = 73872000.

The previous prime is 258606419. The next prime is 258606437. The reversal of 258606432 is 234606852.

258606432 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258606437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52057 + ... + 56807.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^258606432 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 258606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456).

258606432 is an abundant number, since it is smaller than the sum of its proper divisors (613176480).

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

258606432 is an equidigital number, since it uses as much as digits as its factorization.

258606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 258606432 is about 16081.2447279432. The cubic root of 258606432 is about 637.1080718990.

The spelling of 258606432 in words is "two hundred fifty-eight million, six hundred six thousand, four hundred thirty-two".