420420311 has 8 divisors (see below), whose sum is σ = 429935040. Its totient is φ = 410929408.

The previous prime is 420420281. The next prime is 420420317. The reversal of 420420311 is 113024024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420420311 - 2¹⁰ = 420419287 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420420311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420420317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32495 + ... + 43551.

It is an arithmetic number, because the mean of its divisors is an integer number (53741880).

Almost surely, 2^420420311 is an apocalyptic number.

420420311 is a deficient number, since it is larger than the sum of its proper divisors (9514729).

420420311 is a wasteful number, since it uses less digits than its factorization.

420420311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11913.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420420311 is about 20504.1535060582. The cubic root of 420420311 is about 749.1369693591.

Adding to 420420311 its reverse (113024024), we get a palindrome (533444335).

The spelling of 420420311 in words is "four hundred twenty million, four hundred twenty thousand, three hundred eleven".