314649280 has 112 divisors (see below), whose sum is σ = 829543680. Its totient is φ = 112716800.

The previous prime is 314649193. The next prime is 314649289. The reversal of 314649280 is 82946413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314649289) 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, 249291 + ... + 250549.

It is an arithmetic number, because the mean of its divisors is an integer number (7406640).

Almost surely, 2^314649280 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 314649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414771840).

314649280 is an abundant number, since it is smaller than the sum of its proper divisors (514894400).

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

314649280 is a wasteful number, since it uses less digits than its factorization.

314649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 314649280 is about 17738.3561808867. The cubic root of 314649280 is about 680.1565959996.

The spelling of 314649280 in words is "three hundred fourteen million, six hundred forty-nine thousand, two hundred eighty".