417820 has 24 divisors (see below), whose sum is σ = 945504. Its totient is φ = 154176.

The previous prime is 417811. The next prime is 417821. The reversal of 417820 is 28714.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 417791 and 417800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417821) by changing a digit.

417820 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 in 7 ways as a sum of consecutive naturals, for example, 544 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (39396).

2⁴¹⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

417820 is an abundant number, since it is smaller than the sum of its proper divisors (527684).

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

417820 is a wasteful number, since it uses less digits than its factorization.

417820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 417820 is about 646.3899751698. The cubic root of 417820 is about 74.7589296685.

The spelling of 417820 in words is "four hundred seventeen thousand, eight hundred twenty".