314909440 has 72 divisors (see below), whose sum is σ = 757547280. Its totient is φ = 125423616.

The previous prime is 314909437. The next prime is 314909467. The reversal of 314909440 is 44909413.

It is a super-2 number, since 2×314909440² = 198335910802227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314909396 and 314909405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443806 + ... + 444514.

It is an arithmetic number, because the mean of its divisors is an integer number (10521490).

Almost surely, 2^314909440 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 314909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378773640).

314909440 is an abundant number, since it is smaller than the sum of its proper divisors (442637840).

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

314909440 is an equidigital number, since it uses as much as digits as its factorization.

314909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 314909440 is about 17745.6879269303. The cubic root of 314909440 is about 680.3440012630.

The spelling of 314909440 in words is "three hundred fourteen million, nine hundred nine thousand, four hundred forty".