314287920 has 120 divisors (see below), whose sum is σ = 1089608832. Its totient is φ = 81100800.

The previous prime is 314287907. The next prime is 314287937. The reversal of 314287920 is 29782413.

314287920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15280 + ... + 29360.

Almost surely, 2^314287920 is an apocalyptic number.

314287920 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 314287920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544804416).

314287920 is an abundant number, since it is smaller than the sum of its proper divisors (775320912).

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

314287920 is a wasteful number, since it uses less digits than its factorization.

314287920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14131 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 314287920 is about 17728.1674179820. The cubic root of 314287920 is about 679.8961202332.

The spelling of 314287920 in words is "three hundred fourteen million, two hundred eighty-seven thousand, nine hundred twenty".