314844672 has 80 divisors (see below), whose sum is σ = 850874112. Its totient is φ = 103434240.

The previous prime is 314844671. The next prime is 314844679. The reversal of 314844672 is 276448413.

It is a self number, because there is not a number n which added to its sum of digits gives 314844672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314844671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107613 + ... + 110499.

Almost surely, 2^314844672 is an apocalyptic number.

314844672 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 314844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425437056).

314844672 is an abundant number, since it is smaller than the sum of its proper divisors (536029440).

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

314844672 is an equidigital number, since it uses as much as digits as its factorization.

314844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2963 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 314844672 is about 17743.8629390559. The cubic root of 314844672 is about 680.2973555336.

The spelling of 314844672 in words is "three hundred fourteen million, eight hundred forty-four thousand, six hundred seventy-two".