420903 has 32 divisors (see below), whose sum is σ = 760320. Its totient is φ = 224640.

The previous prime is 420899. The next prime is 420919. The reversal of 420903 is 309024.

420903 is a nontrivial binomial coefficient, being equal to C(918, 2).

It is not a de Polignac number, because 420903 - 2² = 420899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420103) 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, 3148 + ... + 3278.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2⁴²⁰⁹⁰³ is an apocalyptic number.

420903 is the 917-th triangular number and also the 459-th hexagonal number.

420903 is a deficient number, since it is larger than the sum of its proper divisors (339417).

420903 is a wasteful number, since it uses less digits than its factorization.

420903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 420903 is about 648.7703754026. The cubic root of 420903 is about 74.9423557065.

Adding to 420903 its reverse (309024), we get a palindrome (729927).

The spelling of 420903 in words is "four hundred twenty thousand, nine hundred three".