420900 has 72 divisors (see below), whose sum is σ = 1291584. Its totient is φ = 105600.

The previous prime is 420899. The next prime is 420919. The reversal of 420900 is 9024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420900.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6870 + ... + 6930.

2⁴²⁰⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645792).

420900 is an abundant number, since it is smaller than the sum of its proper divisors (870684).

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

420900 is a wasteful number, since it uses less digits than its factorization.

420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 420900 is about 648.7680633323. The cubic root of 420900 is about 74.9421776547.

Adding to 420900 its reverse (9024), we get a palindrome (429924).

The spelling of 420900 in words is "four hundred twenty thousand, nine hundred".