314926080 has 352 divisors, whose sum is σ = 1202653440. Its totient is φ = 68812800.

The previous prime is 314926061. The next prime is 314926081. The reversal of 314926080 is 80629413.

It is not an unprimeable number, because it can be changed into a prime (314926081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3118030 + ... + 3118130.

Almost surely, 2^314926080 is an apocalyptic number.

314926080 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 314926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601326720).

314926080 is an abundant number, since it is smaller than the sum of its proper divisors (887727360).

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

314926080 is a wasteful number, since it uses less digits than its factorization.

314926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 314926080 is about 17746.1567670299. The cubic root of 314926080 is about 680.3559843110.

The spelling of 314926080 in words is "three hundred fourteen million, nine hundred twenty-six thousand, eighty".