321404032 has 64 divisors (see below), whose sum is σ = 668010240. Its totient is φ = 153861120.

The previous prime is 321404011. The next prime is 321404033. The reversal of 321404032 is 230404123.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (321404033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424198 + ... + 424954.

It is an arithmetic number, because the mean of its divisors is an integer number (10437660).

Almost surely, 2^321404032 is an apocalyptic number.

321404032 is a gapful number since it is divisible by the number (32) 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 321404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334005120).

321404032 is an abundant number, since it is smaller than the sum of its proper divisors (346606208).

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

321404032 is a wasteful number, since it uses less digits than its factorization.

321404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 321404032 is about 17927.7447549880. The cubic root of 321404032 is about 684.9892778971.

Adding to 321404032 its reverse (230404123), we get a palindrome (551808155).

Subtracting from 321404032 its reverse (230404123), we obtain a palindrome (90999909).

The spelling of 321404032 in words is "three hundred twenty-one million, four hundred four thousand, thirty-two".