420410 has 16 divisors (see below), whose sum is σ = 801576. Its totient is φ = 158208.

The previous prime is 420397. The next prime is 420419. The reversal of 420410 is 14024.

It can be written as a sum of positive squares in 4 ways, for example, as 405769 + 14641 = 637^2 + 121^2 .

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420391 and 420400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420410.

It is not an unprimeable number, because it can be changed into a prime (420419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067 + ... + 1406.

2⁴²⁰⁴¹⁰ is an apocalyptic number.

420410 is a deficient number, since it is larger than the sum of its proper divisors (381166).

420410 is a wasteful number, since it uses less digits than its factorization.

420410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 420410 is about 648.3903145483. The cubic root of 420410 is about 74.9130845000.

Adding to 420410 its reverse (14024), we get a palindrome (434434).

The spelling of 420410 in words is "four hundred twenty thousand, four hundred ten", and thus it is an iban number.