314638440 has 32 divisors (see below), whose sum is σ = 943915680. Its totient is φ = 83903552.

The previous prime is 314638409. The next prime is 314638451. The reversal of 314638440 is 44836413.

It is a happy number.

314638440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1310874 + ... + 1311113.

It is an arithmetic number, because the mean of its divisors is an integer number (29497365).

Almost surely, 2^314638440 is an apocalyptic number.

314638440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314638440 is an abundant number, since it is smaller than the sum of its proper divisors (629277240).

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

314638440 is a wasteful number, since it uses less digits than its factorization.

314638440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622001 (or 2621997 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 314638440 is about 17738.0506257029. The cubic root of 314638440 is about 680.1487852056.

It can be divided in two parts, 31463 and 8440, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 314638440 in words is "three hundred fourteen million, six hundred thirty-eight thousand, four hundred forty".