416820 has 24 divisors (see below), whose sum is σ = 1167264. Its totient is φ = 111136.

The previous prime is 416797. The next prime is 416821. The reversal of 416820 is 28614.

416820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 416820.

It is not an unprimeable number, because it can be changed into a prime (416821) by changing a digit.

416820 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 7 ways as a sum of consecutive naturals, for example, 3414 + ... + 3533.

It is an arithmetic number, because the mean of its divisors is an integer number (48636).

2⁴¹⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

416820 is an abundant number, since it is smaller than the sum of its proper divisors (750444).

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

416820 is a wasteful number, since it uses less digits than its factorization.

416820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 416820 is about 645.6159849322. The cubic root of 416820 is about 74.6992399687.

The spelling of 416820 in words is "four hundred sixteen thousand, eight hundred twenty".