410920 has 16 divisors (see below), whose sum is σ = 924660. Its totient is φ = 164352.

The previous prime is 410903. The next prime is 410929. The reversal of 410920 is 29014.

It can be written as a sum of positive squares in 2 ways, for example, as 391876 + 19044 = 626^2 + 138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 410894 and 410903.

It is not an unprimeable number, because it can be changed into a prime (410929) by changing a digit.

410920 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 3 ways as a sum of consecutive naturals, for example, 5097 + ... + 5176.

2⁴¹⁰⁹²⁰ is an apocalyptic number.

410920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410920 is an abundant number, since it is smaller than the sum of its proper divisors (513740).

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

410920 is a wasteful number, since it uses less digits than its factorization.

410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 410920 is about 641.0304204950. The cubic root of 410920 is about 74.3451131007.

Adding to 410920 its reverse (29014), we get a palindrome (439934).

The spelling of 410920 in words is "four hundred ten thousand, nine hundred twenty".