321493392 has 120 divisors (see below), whose sum is σ = 1039353120. Its totient is φ = 91683840.

The previous prime is 321493369. The next prime is 321493399. The reversal of 321493392 is 293394123.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (321493399) 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, 20959 + ... + 32897.

It is an arithmetic number, because the mean of its divisors is an integer number (8661276).

Almost surely, 2^321493392 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 321493392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519676560).

321493392 is an abundant number, since it is smaller than the sum of its proper divisors (717859728).

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

321493392 is a wasteful number, since it uses less digits than its factorization.

321493392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11972 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 321493392 is about 17930.2368082521. The cubic root of 321493392 is about 685.0527545639.

The spelling of 321493392 in words is "three hundred twenty-one million, four hundred ninety-three thousand, three hundred ninety-two".