420507 has 6 divisors (see below), whose sum is σ = 607412. Its totient is φ = 280332.

The previous prime is 420503. The next prime is 420521. The reversal of 420507 is 705024.

It is a happy number.

It is not a de Polignac number, because 420507 - 2² = 420503 is a prime.

It is a super-2 number, since 2×420507² = 353652274098, which contains 22 as substring.

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 420507.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420507.

It is not an unprimeable number, because it can be changed into a prime (420503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23353 + ... + 23370.

2⁴²⁰⁵⁰⁷ is an apocalyptic number.

420507 is a deficient number, since it is larger than the sum of its proper divisors (186905).

420507 is a wasteful number, since it uses less digits than its factorization.

420507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46729 (or 46726 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 420507 is about 648.4651108579. The cubic root of 420507 is about 74.9188455511.

It can be divided in two parts, 4 and 20507, that multiplied together give a palindrome (82028).

The spelling of 420507 in words is "four hundred twenty thousand, five hundred seven".