314574456 has 64 divisors (see below), whose sum is σ = 901658880. Its totient is φ = 89591040.

The previous prime is 314574439. The next prime is 314574461. The reversal of 314574456 is 654475413.

It is a happy number.

It is a congruent number.

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, 52780 + ... + 58436.

It is an arithmetic number, because the mean of its divisors is an integer number (14088420).

Almost surely, 2^314574456 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 314574456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450829440).

314574456 is an abundant number, since it is smaller than the sum of its proper divisors (587084424).

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

314574456 is a wasteful number, since it uses less digits than its factorization.

314574456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 6000 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 314574456 is about 17736.2469536258. The cubic root of 314574456 is about 680.1026776902.

The spelling of 314574456 in words is "three hundred fourteen million, five hundred seventy-four thousand, four hundred fifty-six".