314632416 has 96 divisors (see below), whose sum is σ = 955438848. Its totient is φ = 88796160.

The previous prime is 314632393. The next prime is 314632459. The reversal of 314632416 is 614236413.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52956 + ... + 58596.

It is an arithmetic number, because the mean of its divisors is an integer number (9952488).

Almost surely, 2^314632416 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 314632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

314632416 is an abundant number, since it is smaller than the sum of its proper divisors (640806432).

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

314632416 is a wasteful number, since it uses less digits than its factorization.

314632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5736 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 314632416 is about 17737.8808204362. The cubic root of 314632416 is about 680.1444445170.

Adding to 314632416 its reverse (614236413), we get a palindrome (928868829).

The spelling of 314632416 in words is "three hundred fourteen million, six hundred thirty-two thousand, four hundred sixteen".