420416 has 14 divisors (see below), whose sum is σ = 834390. Its totient is φ = 210176.

The previous prime is 420397. The next prime is 420419. The reversal of 420416 is 614024.

420416 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 10816 = 640^2 + 104^2 .

It is a super-2 number, since 2×420416² = 353499226112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420394 and 420403.

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

420416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3221 + ... + 3348.

2⁴²⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

420416 is a deficient number, since it is larger than the sum of its proper divisors (413974).

420416 is an equidigital number, since it uses as much as digits as its factorization.

420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420416 is about 648.3949413745. The cubic root of 420416 is about 74.9134408794.

The spelling of 420416 in words is "four hundred twenty thousand, four hundred sixteen".