314917020 has 216 divisors, whose sum is σ = 1106698320. Its totient is φ = 72230400.

The previous prime is 314917019. The next prime is 314917067. The reversal of 314917020 is 20719413.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 413440 + ... + 414200.

Almost surely, 2^314917020 is an apocalyptic number.

314917020 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 314917020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553349160).

314917020 is an abundant number, since it is smaller than the sum of its proper divisors (791781300).

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

314917020 is a wasteful number, since it uses less digits than its factorization.

314917020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 314917020 is about 17745.9014986560. The cubic root of 314917020 is about 680.3494599394.

The spelling of 314917020 in words is "three hundred fourteen million, nine hundred seventeen thousand, twenty".