314140820 has 48 divisors (see below), whose sum is σ = 756497280. Its totient is φ = 107339904.

The previous prime is 314140819. The next prime is 314140837. The reversal of 314140820 is 28041413.

314140820 = 60² + 61² + ... + 980².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39326 + ... + 46634.

It is an arithmetic number, because the mean of its divisors is an integer number (15760360).

Almost surely, 2^314140820 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 314140820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378248640).

314140820 is an abundant number, since it is smaller than the sum of its proper divisors (442356460).

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

314140820 is a wasteful number, since it uses less digits than its factorization.

314140820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 314140820 is about 17724.0181674472. The cubic root of 314140820 is about 679.7900303282.

The spelling of 314140820 in words is "three hundred fourteen million, one hundred forty thousand, eight hundred twenty".