314402304 has 80 divisors (see below), whose sum is σ = 848517120. Its totient is φ = 103434240.

The previous prime is 314402287. The next prime is 314402321. The reversal of 314402304 is 403204413.

It is an interprime number because it is at equal distance from previous prime (314402287) and next prime (314402321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120049 + ... + 122639.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2^314402304 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 314402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424258560).

314402304 is an abundant number, since it is smaller than the sum of its proper divisors (534114816).

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

314402304 is an equidigital number, since it uses as much as digits as its factorization.

314402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 314402304 is about 17731.3931770744. The cubic root of 314402304 is about 679.9785921749.

Adding to 314402304 its reverse (403204413), we get a palindrome (717606717).

The spelling of 314402304 in words is "three hundred fourteen million, four hundred two thousand, three hundred four".