314330406 has 64 divisors (see below), whose sum is σ = 694310400. Its totient is φ = 94277376.

The previous prime is 314330399. The next prime is 314330413. The reversal of 314330406 is 604033413.

It is an interprime number because it is at equal distance from previous prime (314330399) and next prime (314330413).

It is a super-2 number, since 2×314330406² = 197607208272249672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768330 + ... + 768738.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2^314330406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314330406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

314330406 is an abundant number, since it is smaller than the sum of its proper divisors (379979994).

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

314330406 is a wasteful number, since it uses less digits than its factorization.

314330406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 314330406 is about 17729.3656400899. The cubic root of 314330406 is about 679.9267553750.

Adding to 314330406 its reverse (604033413), we get a palindrome (918363819).

The spelling of 314330406 in words is "three hundred fourteen million, three hundred thirty thousand, four hundred six".