314283672 has 128 divisors (see below), whose sum is σ = 912384000. Its totient is φ = 100114560.

The previous prime is 314283659. The next prime is 314283677. The reversal of 314283672 is 276382413.

It is a happy number.

314283672 is a `hidden beast` number, since 314 + 283 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314283677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820393 + ... + 820775.

It is an arithmetic number, because the mean of its divisors is an integer number (7128000).

Almost surely, 2^314283672 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 314283672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456192000).

314283672 is an abundant number, since it is smaller than the sum of its proper divisors (598100328).

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

314283672 is a wasteful number, since it uses less digits than its factorization.

314283672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 314283672 is about 17728.0476082393. The cubic root of 314283672 is about 679.8930569998.

The spelling of 314283672 in words is "three hundred fourteen million, two hundred eighty-three thousand, six hundred seventy-two".