314002720 has 192 divisors, whose sum is σ = 827366400. Its totient is φ = 112250880.

The previous prime is 314002709. The next prime is 314002753. The reversal of 314002720 is 27200413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5322051 + ... + 5322109.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^314002720 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 314002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

314002720 is an abundant number, since it is smaller than the sum of its proper divisors (513363680).

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

314002720 is a wasteful number, since it uses less digits than its factorization.

314002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 314002720 is about 17720.1218957433. The cubic root of 314002720 is about 679.6904011626.

The spelling of 314002720 in words is "three hundred fourteen million, two thousand, seven hundred twenty".