314618040 has 256 divisors, whose sum is σ = 1163289600. Its totient is φ = 74995200.

The previous prime is 314618033. The next prime is 314618069. The reversal of 314618040 is 40816413.

314618040 is a `hidden beast` number, since 3 + 1 + 4 + 618 + 0 + 40 = 666.

It is a super-2 number, since 2×314618040² = 197969022186883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314617995 and 314618013.

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 63 ways as a sum of consecutive naturals, for example, 843294 + ... + 843666.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^314618040 is an apocalyptic number.

314618040 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 314618040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

314618040 is an abundant number, since it is smaller than the sum of its proper divisors (848671560).

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

314618040 is a wasteful number, since it uses less digits than its factorization.

314618040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 314618040 is about 17737.4755813785. The cubic root of 314618040 is about 680.1340854387.

The spelling of 314618040 in words is "three hundred fourteen million, six hundred eighteen thousand, forty".