314465536 has 216 divisors, whose sum is σ = 830469024. Its totient is φ = 117411840.

The previous prime is 314465533. The next prime is 314465537. The reversal of 314465536 is 635564413.

It is a junction number, because it is equal to n+sod(n) for n = 314465495 and 314465504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314465533) 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 23 ways as a sum of consecutive naturals, for example, 5933286 + ... + 5933338.

It is an arithmetic number, because the mean of its divisors is an integer number (3844764).

Almost surely, 2^314465536 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 314465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415234512).

314465536 is an abundant number, since it is smaller than the sum of its proper divisors (516003488).

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

314465536 is a wasteful number, since it uses less digits than its factorization.

314465536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 314465536 is about 17733.1761396542. The cubic root of 314465536 is about 680.0241744578.

The spelling of 314465536 in words is "three hundred fourteen million, four hundred sixty-five thousand, five hundred thirty-six".