420001311 has 16 divisors (see below), whose sum is σ = 565636608. Its totient is φ = 277195200.

The previous prime is 420001297. The next prime is 420001381. The reversal of 420001311 is 113100024.

It is a happy number.

It is not a de Polignac number, because 420001311 - 2¹⁷ = 419870239 is a prime.

It is a super-2 number, since 2×420001311² = 352802202483437442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420001381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175956 + ... + 178326.

It is an arithmetic number, because the mean of its divisors is an integer number (35352288).

Almost surely, 2^420001311 is an apocalyptic number.

420001311 is a deficient number, since it is larger than the sum of its proper divisors (145635297).

420001311 is a wasteful number, since it uses less digits than its factorization.

420001311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 420001311 is about 20493.9335170191. The cubic root of 420001311 is about 748.8880179204. Note that the first 3 decimals are identical.

Adding to 420001311 its reverse (113100024), we get a palindrome (533101335).

It can be divided in two parts, 4200013 and 11, that added together give a palindrome (4200024).

The spelling of 420001311 in words is "four hundred twenty million, one thousand, three hundred eleven".