321314440 has 32 divisors (see below), whose sum is σ = 730419480. Its totient is φ = 127199232.

The previous prime is 321314429. The next prime is 321314443. The reversal of 321314440 is 44413123.

It can be written as a sum of positive squares in 4 ways, for example, as 279090436 + 42224004 = 16706^2 + 6498^2 .

It is not an unprimeable number, because it can be changed into a prime (321314443) 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, 37527 + ... + 45286.

Almost surely, 2^321314440 is an apocalyptic number.

It is an amenable number.

321314440 is an abundant number, since it is smaller than the sum of its proper divisors (409105040).

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

321314440 is a wasteful number, since it uses less digits than its factorization.

321314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82921 (or 82917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 321314440 is about 17925.2458839481. The cubic root of 321314440 is about 684.9256246170.

Adding to 321314440 its reverse (44413123), we get a palindrome (365727563).

The spelling of 321314440 in words is "three hundred twenty-one million, three hundred fourteen thousand, four hundred forty".