314714520 has 192 divisors, whose sum is σ = 1078272000. Its totient is φ = 79453440.

The previous prime is 314714459. The next prime is 314714567. The reversal of 314714520 is 25417413.

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 47 ways as a sum of consecutive naturals, for example, 1581381 + ... + 1581579.

It is an arithmetic number, because the mean of its divisors is an integer number (5616000).

Almost surely, 2^314714520 is an apocalyptic number.

314714520 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 314714520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539136000).

314714520 is an abundant number, since it is smaller than the sum of its proper divisors (763557480).

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

314714520 is a wasteful number, since it uses less digits than its factorization.

314714520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 314714520 is about 17740.1950383867. The cubic root of 314714520 is about 680.2036010861.

The spelling of 314714520 in words is "three hundred fourteen million, seven hundred fourteen thousand, five hundred twenty".