314880 has 80 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 81920.

The previous prime is 314879. The next prime is 314903. The reversal of 314880 is 88413.

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 self number, because there is not a number n which added to its sum of digits gives 314880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7660 + ... + 7700.

314880 is a Friedman number, since it can be written as 48*(3^8-1-0), using all its digits and the basic arithmetic operations.

2³¹⁴⁸⁸⁰ is an apocalyptic number.

314880 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 314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

314880 is an abundant number, since it is smaller than the sum of its proper divisors (716304).

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

314880 is an equidigital number, since it uses as much as digits as its factorization.

314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 314880 is about 561.1416933360. The cubic root of 314880 is about 68.0322799452.

The spelling of 314880 in words is "three hundred fourteen thousand, eight hundred eighty".