314297760 has 384 divisors, whose sum is σ = 1219276800. Its totient is φ = 67888128.

The previous prime is 314297749. The next prime is 314297771. The reversal of 314297760 is 67792413.

It is an interprime number because it is at equal distance from previous prime (314297749) and next prime (314297771).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3786679 + ... + 3786761.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^314297760 is an apocalyptic number.

314297760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

314297760 is an abundant number, since it is smaller than the sum of its proper divisors (904979040).

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

314297760 is a wasteful number, since it uses less digits than its factorization.

314297760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 314297760 is about 17728.4449402648. Note that the first 3 decimals coincide. The cubic root of 314297760 is about 679.9032157525.

The spelling of 314297760 in words is "three hundred fourteen million, two hundred ninety-seven thousand, seven hundred sixty".