314297406 has 48 divisors (see below), whose sum is σ = 719347200. Its totient is φ = 99020880.

The previous prime is 314297387. The next prime is 314297407. The reversal of 314297406 is 604792413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314297407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17445 + ... + 30543.

It is an arithmetic number, because the mean of its divisors is an integer number (14986400).

Almost surely, 2^314297406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314297406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359673600).

314297406 is an abundant number, since it is smaller than the sum of its proper divisors (405049794).

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

314297406 is a wasteful number, since it uses less digits than its factorization.

314297406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 314297406 is about 17728.4349563068. The cubic root of 314297406 is about 679.9029604894.

The spelling of 314297406 in words is "three hundred fourteen million, two hundred ninety-seven thousand, four hundred six".