420305814 has 32 divisors (see below), whose sum is σ = 938926080. Its totient is φ = 139365000.

The previous prime is 420305803. The next prime is 420305827. The reversal of 420305814 is 418503024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10062 + ... + 30689.

It is an arithmetic number, because the mean of its divisors is an integer number (29341440).

Almost surely, 2^420305814 is an apocalyptic number.

420305814 is an abundant number, since it is smaller than the sum of its proper divisors (518620266).

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

420305814 is a wasteful number, since it uses less digits than its factorization.

420305814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40953 (or 40947 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 420305814 is about 20501.3612718766. The cubic root of 420305814 is about 749.0689566894.

Adding to 420305814 its reverse (418503024), we get a palindrome (838808838).

The spelling of 420305814 in words is "four hundred twenty million, three hundred five thousand, eight hundred fourteen".