410120 has 16 divisors (see below), whose sum is σ = 922860. Its totient is φ = 164032.

The previous prime is 410119. The next prime is 410141. The reversal of 410120 is 21014.

It can be written as a sum of positive squares in 2 ways, for example, as 376996 + 33124 = 614^2 + 182^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 410098 and 410107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 410120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5087 + ... + 5166.

2⁴¹⁰¹²⁰ is an apocalyptic number.

410120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

410120 is an abundant number, since it is smaller than the sum of its proper divisors (512740).

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

410120 is a wasteful number, since it uses less digits than its factorization.

410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10260 counting only the distinct ones).

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

The square root of 410120 is about 640.4061211450. The cubic root of 410120 is about 74.2968354722.

Adding to 410120 its reverse (21014), we get a palindrome (431134).

The spelling of 410120 in words is "four hundred ten thousand, one hundred twenty", and thus it is an iban number.