314902080 has 140 divisors (see below), whose sum is σ = 1120254300. Its totient is φ = 83966976.

The previous prime is 314902037. The next prime is 314902121. The reversal of 314902080 is 80209413.

It can be written as a sum of positive squares in 2 ways, for example, as 235192896 + 79709184 = 15336^2 + 8928^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19846 + ... + 31994.

Almost surely, 2^314902080 is an apocalyptic number.

314902080 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 314902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560127150).

314902080 is an abundant number, since it is smaller than the sum of its proper divisors (805352220).

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

314902080 is a wasteful number, since it uses less digits than its factorization.

314902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 314902080 is about 17745.4805513967. The cubic root of 314902080 is about 680.3387009341.

The spelling of 314902080 in words is "three hundred fourteen million, nine hundred two thousand, eighty".