408120 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 102528.

The previous prime is 408091. The next prime is 408127. The reversal of 408120 is 21804.

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

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 408120.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408120.

It is not an unprimeable number, because it can be changed into a prime (408127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2⁴⁰⁸¹²⁰ is an apocalyptic number.

408120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

408120 is an abundant number, since it is smaller than the sum of its proper divisors (887880).

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

408120 is a wasteful number, since it uses less digits than its factorization.

408120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

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

The square root of 408120 is about 638.8427036446. The cubic root of 408120 is about 74.1758661035.

Adding to 408120 its reverse (21804), we get a palindrome (429924).

It can be divided in two parts, 408 and 120, that added together give a triangular number (528 = T₃₂).

The spelling of 408120 in words is "four hundred eight thousand, one hundred twenty".