314175264 has 96 divisors (see below), whose sum is σ = 892866240. Its totient is φ = 96156672.

The previous prime is 314175233. The next prime is 314175269. The reversal of 314175264 is 462571413.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (314175269) 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, 282742 + ... + 283850.

It is an arithmetic number, because the mean of its divisors is an integer number (9300690).

Almost surely, 2^314175264 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 314175264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446433120).

314175264 is an abundant number, since it is smaller than the sum of its proper divisors (578690976).

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

314175264 is a wasteful number, since it uses less digits than its factorization.

314175264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 314175264 is about 17724.9898166402. The cubic root of 314175264 is about 679.8148746343.

The spelling of 314175264 in words is "three hundred fourteen million, one hundred seventy-five thousand, two hundred sixty-four".