314304720 has 80 divisors (see below), whose sum is σ = 977235072. Its totient is φ = 83566080.

The previous prime is 314304719. The next prime is 314304743. The reversal of 314304720 is 27403413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87765 + ... + 91275.

Almost surely, 2^314304720 is an apocalyptic number.

314304720 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 314304720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488617536).

314304720 is an abundant number, since it is smaller than the sum of its proper divisors (662930352).

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

314304720 is a wasteful number, since it uses less digits than its factorization.

314304720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 314304720 is about 17728.6412338904. The cubic root of 314304720 is about 679.9082344450.

The spelling of 314304720 in words is "three hundred fourteen million, three hundred four thousand, seven hundred twenty".