314515530 has 96 divisors (see below), whose sum is σ = 940118400. Its totient is φ = 71462016.

The previous prime is 314515529. The next prime is 314515541. The reversal of 314515530 is 35515413.

It is a super-3 number, since 3×314515530³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 314515494 and 314515503.

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 47 ways as a sum of consecutive naturals, for example, 111376 + ... + 114164.

It is an arithmetic number, because the mean of its divisors is an integer number (9792900).

Almost surely, 2^314515530 is an apocalyptic number.

314515530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314515530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

314515530 is an abundant number, since it is smaller than the sum of its proper divisors (625602870).

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

314515530 is a wasteful number, since it uses less digits than its factorization.

314515530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 314515530 is about 17734.5857013915. The cubic root of 314515530 is about 680.0602094899.

The spelling of 314515530 in words is "three hundred fourteen million, five hundred fifteen thousand, five hundred thirty".