314853440 has 112 divisors (see below), whose sum is σ = 853683840. Its totient is φ = 109486080.

The previous prime is 314853437. The next prime is 314853457. The reversal of 314853440 is 44358413.

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 = 314853397 and 314853406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79016 + ... + 82904.

Almost surely, 2^314853440 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 314853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426841920).

314853440 is an abundant number, since it is smaller than the sum of its proper divisors (538830400).

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

314853440 is a wasteful number, since it uses less digits than its factorization.

314853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 314853440 is about 17744.1100086761. The cubic root of 314853440 is about 680.3036705967.

The spelling of 314853440 in words is "three hundred fourteen million, eight hundred fifty-three thousand, four hundred forty".