314615840 has 96 divisors (see below), whose sum is σ = 926722944. Its totient is φ = 98058240.

The previous prime is 314615803. The next prime is 314615849. The reversal of 314615840 is 48516413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 314615797 and 314615806.

It is not an unprimeable number, because it can be changed into a prime (314615849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449 + ... + 25088.

It is an arithmetic number, because the mean of its divisors is an integer number (9653364).

Almost surely, 2^314615840 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 314615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463361472).

314615840 is an abundant number, since it is smaller than the sum of its proper divisors (612107104).

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

314615840 is a wasteful number, since it uses less digits than its factorization.

314615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25570 (or 25562 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 314615840 is about 17737.4135656809. The cubic root of 314615840 is about 680.1325001318.

The spelling of 314615840 in words is "three hundred fourteen million, six hundred fifteen thousand, eight hundred forty".