314515540 has 48 divisors (see below), whose sum is σ = 692842752. Its totient is φ = 119788416.

The previous prime is 314515529. The next prime is 314515541. The reversal of 314515540 is 45515413.

314515540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×314515540³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314515499 and 314515508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314515541) by changing a digit.

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, 30259 + ... + 39301.

It is an arithmetic number, because the mean of its divisors is an integer number (14434224).

Almost surely, 2^314515540 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 314515540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346421376).

314515540 is an abundant number, since it is smaller than the sum of its proper divisors (378327212).

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

314515540 is a wasteful number, since it uses less digits than its factorization.

314515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9136 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 314515540 is about 17734.5859833265. The cubic root of 314515540 is about 680.0602166974.

The spelling of 314515540 in words is "three hundred fourteen million, five hundred fifteen thousand, five hundred forty".