420500 has 36 divisors (see below), whose sum is σ = 951132. Its totient is φ = 162400.

The previous prime is 420499. The next prime is 420503. The reversal of 420500 is 5024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 126736 + 293764 = 356^2 + 542^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420500.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14486 + ... + 14514.

2⁴²⁰⁵⁰⁰ 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 420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475566).

420500 is an abundant number, since it is smaller than the sum of its proper divisors (530632).

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

420500 is a wasteful number, since it uses less digits than its factorization.

420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 420500 is about 648.4597134749. The cubic root of 420500 is about 74.9184298348.

Adding to 420500 its reverse (5024), we get a palindrome (425524).

The spelling of 420500 in words is "four hundred twenty thousand, five hundred".