314066412 has 72 divisors (see below), whose sum is σ = 868008960. Its totient is φ = 94957920.

The previous prime is 314066399. The next prime is 314066413. The reversal of 314066412 is 214660413.

314066412 is a `hidden beast` number, since 3 + 14 + 0 + 6 + 641 + 2 = 666.

It is a super-2 number, since 2×314066412² = 197275422293107488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314066413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341289 + ... + 342207.

It is an arithmetic number, because the mean of its divisors is an integer number (12055680).

Almost surely, 2^314066412 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 314066412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434004480).

314066412 is an abundant number, since it is smaller than the sum of its proper divisors (553942548).

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

314066412 is a wasteful number, since it uses less digits than its factorization.

314066412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314066412 is about 17721.9189705855. The cubic root of 314066412 is about 679.7363539645.

The spelling of 314066412 in words is "three hundred fourteen million, sixty-six thousand, four hundred twelve".