321433920 has 140 divisors (see below), whose sum is σ = 1143489204. Its totient is φ = 85708800.

The previous prime is 321433919. The next prime is 321434021. The reversal of 321433920 is 29334123.

It is a happy number.

321433920 is a `hidden beast` number, since 321 + 4 + 339 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118200384 + 203233536 = 10872^2 + 14256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19720 + ... + 32120.

Almost surely, 2^321433920 is an apocalyptic number.

321433920 is a gapful number since it is divisible by the number (30) 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 321433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571744602).

321433920 is an abundant number, since it is smaller than the sum of its proper divisors (822055284).

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

321433920 is a wasteful number, since it uses less digits than its factorization.

321433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12430 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 321433920 is about 17928.5783039258. The cubic root of 321433920 is about 685.0105100773.

It can be divided in two parts, 32143 and 3920, that added together give a palindrome (36063).

The spelling of 321433920 in words is "three hundred twenty-one million, four hundred thirty-three thousand, nine hundred twenty".