314746272 has 72 divisors (see below), whose sum is σ = 919281636. Its totient is φ = 102076416.

The previous prime is 314746253. The next prime is 314746273. The reversal of 314746272 is 272647413.

314746272 is a `hidden beast` number, since 314 + 74 + 6 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308213136 + 6533136 = 17556^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314746273) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4113 + ... + 25424.

Almost surely, 2^314746272 is an apocalyptic number.

314746272 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 314746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459640818).

314746272 is an abundant number, since it is smaller than the sum of its proper divisors (604535364).

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

314746272 is a wasteful number, since it uses less digits than its factorization.

314746272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29590 (or 29579 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 314746272 is about 17741.0899326958. The cubic root of 314746272 is about 680.2264758896.

The spelling of 314746272 in words is "three hundred fourteen million, seven hundred forty-six thousand, two hundred seventy-two".