314993280 has 256 divisors, whose sum is σ = 1198540800. Its totient is φ = 68800512.

The previous prime is 314993269. The next prime is 314993293. The reversal of 314993280 is 82399413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308611 + ... + 309629.

It is an arithmetic number, because the mean of its divisors is an integer number (4681800).

Almost surely, 2^314993280 is an apocalyptic number.

314993280 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 314993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599270400).

314993280 is an abundant number, since it is smaller than the sum of its proper divisors (883547520).

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

314993280 is a wasteful number, since it uses less digits than its factorization.

314993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 314993280 is about 17748.0500337361. The cubic root of 314993280 is about 680.4043730954.

The spelling of 314993280 in words is "three hundred fourteen million, nine hundred ninety-three thousand, two hundred eighty".