408360 has 64 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 104960.

The previous prime is 408347. The next prime is 408361. The reversal of 408360 is 63804.

408360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408360.

It is not an unprimeable number, because it can be changed into a prime (408361) by changing a digit.

408360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4879 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2⁴⁰⁸³⁶⁰ is an apocalyptic number.

408360 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 408360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

408360 is an abundant number, since it is smaller than the sum of its proper divisors (861720).

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

408360 is a wasteful number, since it uses less digits than its factorization.

408360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 408360 is about 639.0305157033. The cubic root of 408360 is about 74.1904032653.

The spelling of 408360 in words is "four hundred eight thousand, three hundred sixty".