314019264 has 112 divisors (see below), whose sum is σ = 904674848. Its totient is φ = 95551488.

The previous prime is 314019263. The next prime is 314019331. The reversal of 314019264 is 462910413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314019263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241464 + ... + 242760.

It is an arithmetic number, because the mean of its divisors is an integer number (8077454).

Almost surely, 2^314019264 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 314019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452337424).

314019264 is an abundant number, since it is smaller than the sum of its proper divisors (590655584).

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

314019264 is a wasteful number, since it uses less digits than its factorization.

314019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

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

The square root of 314019264 is about 17720.5887035392. The cubic root of 314019264 is about 679.7023380024.

Adding to 314019264 its reverse (462910413), we get a palindrome (776929677).

The spelling of 314019264 in words is "three hundred fourteen million, nineteen thousand, two hundred sixty-four".