314871960 has 256 divisors, whose sum is σ = 1114767360. Its totient is φ = 70410240.

The previous prime is 314871911. The next prime is 314871983. The reversal of 314871960 is 69178413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821929 + ... + 822311.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^314871960 is an apocalyptic number.

314871960 is a gapful number since it is divisible by the number (30) 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 314871960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

314871960 is an abundant number, since it is smaller than the sum of its proper divisors (799895400).

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

314871960 is a wasteful number, since it uses less digits than its factorization.

314871960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 314871960 is about 17744.6318643132. The cubic root of 314871960 is about 680.3170090534.

The spelling of 314871960 in words is "three hundred fourteen million, eight hundred seventy-one thousand, nine hundred sixty".