314515264 has 56 divisors (see below), whose sum is σ = 730715328. Its totient is φ = 131496960.

The previous prime is 314515261. The next prime is 314515277. The reversal of 314515264 is 462515413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×314515264³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314515261) 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, 9807 + ... + 26929.

It is an arithmetic number, because the mean of its divisors is an integer number (13048488).

Almost surely, 2^314515264 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 314515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365357664).

314515264 is an abundant number, since it is smaller than the sum of its proper divisors (416200064).

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

314515264 is a wasteful number, since it uses less digits than its factorization.

314515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17183 (or 17173 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 314515264 is about 17734.5782019195. The cubic root of 314515264 is about 680.0600177706.

The spelling of 314515264 in words is "three hundred fourteen million, five hundred fifteen thousand, two hundred sixty-four".