314529984 has 84 divisors (see below), whose sum is σ = 918642816. Its totient is φ = 102855168.

The previous prime is 314529961. The next prime is 314529997. The reversal of 314529984 is 489925413.

314529984 is a `hidden beast` number, since 31 + 4 + 529 + 98 + 4 = 666.

It is a super-2 number, since 2×314529984² = 197858221670080512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25377 + ... + 35679.

It is an arithmetic number, because the mean of its divisors is an integer number (10936224).

Almost surely, 2^314529984 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 314529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459321408).

314529984 is an abundant number, since it is smaller than the sum of its proper divisors (604112832).

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

314529984 is a wasteful number, since it uses less digits than its factorization.

314529984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10374 (or 10361 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 314529984 is about 17734.9932055245. The cubic root of 314529984 is about 680.0706270356.

It can be divided in two parts, 314529 and 984, that added together give a palindrome (315513).

The spelling of 314529984 in words is "three hundred fourteen million, five hundred twenty-nine thousand, nine hundred eighty-four".