410020 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 141696.

The previous prime is 410009. The next prime is 410029. The reversal of 410020 is 20014.

410020 = T₅ + T₆ + ... + T₁₃₄.

It is a junction number, because it is equal to n+sod(n) for n = 409985 and 410012.

It is not an unprimeable number, because it can be changed into a prime (410029) by changing a digit.

410020 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 15 ways as a sum of consecutive naturals, for example, 4899 + ... + 4981.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2⁴¹⁰⁰²⁰ 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 410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

410020 is an abundant number, since it is smaller than the sum of its proper divisors (577820).

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

410020 is a wasteful number, since it uses less digits than its factorization.

410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 410020 is about 640.3280409290. The cubic root of 410020 is about 74.2907963556.

Adding to 410020 its reverse (20014), we get a palindrome (430034).

The spelling of 410020 in words is "four hundred ten thousand, twenty", and thus it is an iban number.