420810 has 48 divisors (see below), whose sum is σ = 1106784. Its totient is φ = 102336.

The previous prime is 420809. The next prime is 420811. The reversal of 420810 is 18024.

It is an interprime number because it is at equal distance from previous prime (420809) and next prime (420811).

It is a super-2 number, since 2×420810² = 354162112200, which contains 22 as substring.

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

420810 is a modest number, since divided by 810 gives 420 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 420810.

It is not an unprimeable number, because it can be changed into a prime (420811) 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 23 ways as a sum of consecutive naturals, for example, 5029 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (23058).

2⁴²⁰⁸¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553392).

420810 is an abundant number, since it is smaller than the sum of its proper divisors (685974).

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

420810 is a wasteful number, since it uses less digits than its factorization.

420810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 420810 is about 648.6986973935. The cubic root of 420810 is about 74.9368357075.

Adding to 420810 its reverse (18024), we get a palindrome (438834).

The spelling of 420810 in words is "four hundred twenty thousand, eight hundred ten".