314531952 has 80 divisors (see below), whose sum is σ = 958605312. Its totient is φ = 86964480.

The previous prime is 314531929. The next prime is 314531953. The reversal of 314531952 is 259135413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314531953) 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, 4683 + ... + 25514.

Almost surely, 2^314531952 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 314531952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479302656).

314531952 is an abundant number, since it is smaller than the sum of its proper divisors (644073360).

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

314531952 is a wasteful number, since it uses less digits than its factorization.

314531952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30246 (or 30240 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 314531952 is about 17735.0486889662. The cubic root of 314531952 is about 680.0720454231.

The spelling of 314531952 in words is "three hundred fourteen million, five hundred thirty-one thousand, nine hundred fifty-two".