314194272 has 144 divisors (see below), whose sum is σ = 1016109360. Its totient is φ = 84467712.

The previous prime is 314194271. The next prime is 314194291. The reversal of 314194272 is 272491413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314194271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78004 + ... + 81932.

It is an arithmetic number, because the mean of its divisors is an integer number (7056315).

Almost surely, 2^314194272 is an apocalyptic number.

314194272 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 314194272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508054680).

314194272 is an abundant number, since it is smaller than the sum of its proper divisors (701915088).

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

314194272 is a wasteful number, since it uses less digits than its factorization.

314194272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3958 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 314194272 is about 17725.5260006579. The cubic root of 314194272 is about 679.8285842438.

The spelling of 314194272 in words is "three hundred fourteen million, one hundred ninety-four thousand, two hundred seventy-two".