410820 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 106240.

The previous prime is 410819. The next prime is 410833. The reversal of 410820 is 28014.

410820 = T₁₁₂ + T₁₁₃ + ... + T₁₅₆.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 410820.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 2377 + ... + 2543.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁴¹⁰⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

410820 is an abundant number, since it is smaller than the sum of its proper divisors (774588).

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

410820 is a wasteful number, since it uses less digits than its factorization.

410820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 410820 is about 640.9524163306. The cubic root of 410820 is about 74.3390818258.

Adding to 410820 its reverse (28014), we get a palindrome (438834).

The spelling of 410820 in words is "four hundred ten thousand, eight hundred twenty".