420006314 has 64 divisors (see below), whose sum is σ = 805814016. Its totient is φ = 159750144.

The previous prime is 420006313. The next prime is 420006319. The reversal of 420006314 is 413600024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (420006313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652877 + ... + 653519.

It is an arithmetic number, because the mean of its divisors is an integer number (12590844).

Almost surely, 2^420006314 is an apocalyptic number.

420006314 is a deficient number, since it is larger than the sum of its proper divisors (385807702).

420006314 is a wasteful number, since it uses less digits than its factorization.

420006314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 420006314 is about 20494.0555771668. The cubic root of 420006314 is about 748.8909914602.

Adding to 420006314 its reverse (413600024), we get a palindrome (833606338).

The spelling of 420006314 in words is "four hundred twenty million, six thousand, three hundred fourteen".