314678240 has 48 divisors (see below), whose sum is σ = 748222272. Its totient is φ = 125059584.

The previous prime is 314678227. The next prime is 314678263. The reversal of 314678240 is 42876413.

It is a self number, because there is not a number n which added to its sum of digits gives 314678240.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18857 + ... + 31383.

It is an arithmetic number, because the mean of its divisors is an integer number (15587964).

Almost surely, 2^314678240 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 314678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374111136).

314678240 is an abundant number, since it is smaller than the sum of its proper divisors (433544032).

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

314678240 is a wasteful number, since it uses less digits than its factorization.

314678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12699 (or 12691 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 314678240 is about 17739.1724722435. The cubic root of 314678240 is about 680.1774623334.

The spelling of 314678240 in words is "three hundred fourteen million, six hundred seventy-eight thousand, two hundred forty".