314042916 has 72 divisors (see below), whose sum is σ = 809180512. Its totient is φ = 94723200.

The previous prime is 314042891. The next prime is 314042941. The reversal of 314042916 is 619240413.

It is an interprime number because it is at equal distance from previous prime (314042891) and next prime (314042941).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454131 + ... + 454821.

Almost surely, 2^314042916 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 314042916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404590256).

314042916 is an abundant number, since it is smaller than the sum of its proper divisors (495137596).

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

314042916 is a wasteful number, since it uses less digits than its factorization.

314042916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 314042916 is about 17721.2560502917. The cubic root of 314042916 is about 679.7194026838.

It can be divided in two parts, 3140 and 42916, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 314042916 in words is "three hundred fourteen million, forty-two thousand, nine hundred sixteen".