405960 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 101376.

The previous prime is 405959. The next prime is 405967. The reversal of 405960 is 69504.

405960 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 405960.

It is not an unprimeable number, because it can be changed into a prime (405967) 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, 1941 + ... + 2139.

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

2⁴⁰⁵⁹⁶⁰ is an apocalyptic number.

405960 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 405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

405960 is an abundant number, since it is smaller than the sum of its proper divisors (890040).

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

405960 is a wasteful number, since it uses less digits than its factorization.

405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 405960 is about 637.1499038688. The cubic root of 405960 is about 74.0447744616.

The spelling of 405960 in words is "four hundred five thousand, nine hundred sixty".