858993432 has 128 divisors (see below), whose sum is σ = 2418647040. Its totient is φ = 251991680.

The previous prime is 858993407. The next prime is 858993433. The reversal of 858993432 is 234399858.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858993433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327333 + ... + 1327979.

It is an arithmetic number, because the mean of its divisors is an integer number (18895680).

Almost surely, 2^858993432 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 858993432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209323520).

858993432 is an abundant number, since it is smaller than the sum of its proper divisors (1559653608).

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

858993432 is a wasteful number, since it uses less digits than its factorization.

858993432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 858993432 is about 29308.5897306575. The cubic root of 858993432 is about 950.5973830904.

The spelling of 858993432 in words is "eight hundred fifty-eight million, nine hundred ninety-three thousand, four hundred thirty-two".