420116 has 12 divisors (see below), whose sum is σ = 741888. Its totient is φ = 208152.

The previous prime is 420103. The next prime is 420149. The reversal of 420116 is 611024.

420116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 420116.

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 420116.

It is an unprimeable number.

420116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (61824).

2⁴²⁰¹¹⁶ is an apocalyptic number.

It is an amenable number.

420116 is a deficient number, since it is larger than the sum of its proper divisors (321772).

420116 is a wasteful number, since it uses less digits than its factorization.

420116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 420116 is about 648.1635596051. The cubic root of 420116 is about 74.8956177550.

The spelling of 420116 in words is "four hundred twenty thousand, one hundred sixteen".