314820384 has 96 divisors (see below), whose sum is σ = 845873280. Its totient is φ = 102500352.

The previous prime is 314820377. The next prime is 314820409. The reversal of 314820384 is 483028413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314820384² = 198223748363814912, which contains 22 as substring.

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, 1170202 + ... + 1170470.

It is an arithmetic number, because the mean of its divisors is an integer number (8811180).

Almost surely, 2^314820384 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 314820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422936640).

314820384 is an abundant number, since it is smaller than the sum of its proper divisors (531052896).

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

314820384 is a wasteful number, since it uses less digits than its factorization.

314820384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 314820384 is about 17743.1785202088. The cubic root of 314820384 is about 680.2798617359.

Adding to 314820384 its reverse (483028413), we get a palindrome (797848797).

It can be divided in two parts, 3148 and 20384, that added together give a palindrome (23532).

The spelling of 314820384 in words is "three hundred fourteen million, eight hundred twenty thousand, three hundred eighty-four".