314252820 has 216 divisors, whose sum is σ = 1158603264. Its totient is φ = 67525632.

The previous prime is 314252791. The next prime is 314252831. The reversal of 314252820 is 28252413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 363709 + ... + 364571.

It is an arithmetic number, because the mean of its divisors is an integer number (5363904).

Almost surely, 2^314252820 is an apocalyptic number.

314252820 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 314252820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579301632).

314252820 is an abundant number, since it is smaller than the sum of its proper divisors (844350444).

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

314252820 is a wasteful number, since it uses less digits than its factorization.

314252820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 314252820 is about 17727.1774403033. The cubic root of 314252820 is about 679.8708087902.

The spelling of 314252820 in words is "three hundred fourteen million, two hundred fifty-two thousand, eight hundred twenty".