314645952 has 56 divisors (see below), whose sum is σ = 835184512. Its totient is φ = 104544000.

The previous prime is 314645941. The next prime is 314645959. The reversal of 314645952 is 259546413.

It is a self number, because there is not a number n which added to its sum of digits gives 314645952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314645959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61077 + ... + 66027.

Almost surely, 2^314645952 is an apocalyptic number.

314645952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417592256).

314645952 is an abundant number, since it is smaller than the sum of its proper divisors (520538560).

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

314645952 is a wasteful number, since it uses less digits than its factorization.

314645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5287 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 314645952 is about 17738.2623726226. The cubic root of 314645952 is about 680.1541980185.

The spelling of 314645952 in words is "three hundred fourteen million, six hundred forty-five thousand, nine hundred fifty-two".