314404272 has 120 divisors (see below), whose sum is σ = 1082993184. Its totient is φ = 82916352.

The previous prime is 314404271. The next prime is 314404301. The reversal of 314404272 is 272404413.

314404272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (314404271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108 + ... + 25100.

Almost surely, 2^314404272 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 314404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541496592).

314404272 is an abundant number, since it is smaller than the sum of its proper divisors (768588912).

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

314404272 is a wasteful number, since it uses less digits than its factorization.

314404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24027 (or 24018 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 314404272 is about 17731.4486717809. The cubic root of 314404272 is about 679.9800109464.

Adding to 314404272 its reverse (272404413), we get a palindrome (586808685).

The spelling of 314404272 in words is "three hundred fourteen million, four hundred four thousand, two hundred seventy-two".