314037472 has 144 divisors (see below), whose sum is σ = 772208640. Its totient is φ = 124975872.

The previous prime is 314037461. The next prime is 314037499. The reversal of 314037472 is 274730413.

It is a congruent number.

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, 2472673 + ... + 2472799.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^314037472 is an apocalyptic number.

314037472 is a gapful number since it is divisible by the number (32) 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 314037472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

314037472 is an abundant number, since it is smaller than the sum of its proper divisors (458171168).

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

314037472 is a wasteful number, since it uses less digits than its factorization.

314037472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 314037472 is about 17721.1024487756. The cubic root of 314037472 is about 679.7154749682.

Adding to 314037472 its reverse (274730413), we get a palindrome (588767885).

The spelling of 314037472 in words is "three hundred fourteen million, thirty-seven thousand, four hundred seventy-two".