405120 has 64 divisors (see below), whose sum is σ = 1297440. Its totient is φ = 107520.

The previous prime is 405091. The next prime is 405143. The reversal of 405120 is 21504.

405120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 405096 and 405105.

It is an unprimeable number.

405120 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 7 ways as a sum of consecutive naturals, for example, 1815 + ... + 2025.

2⁴⁰⁵¹²⁰ is an apocalyptic number.

405120 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 405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648720).

405120 is an abundant number, since it is smaller than the sum of its proper divisors (892320).

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

405120 is a wasteful number, since it uses less digits than its factorization.

405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 405120 is about 636.4903769893. The cubic root of 405120 is about 73.9936688034.

Adding to 405120 its reverse (21504), we get a palindrome (426624).

It can be divided in two parts, 405 and 120, that added together give a palindrome (525).

The spelling of 405120 in words is "four hundred five thousand, one hundred twenty".