408645 has 20 divisors (see below), whose sum is σ = 733260. Its totient is φ = 217728.

The previous prime is 408643. The next prime is 408659. The reversal of 408645 is 546804.

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 272484 = 369^2 + 522^2 .

It is not a de Polignac number, because 408645 - 2¹ = 408643 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 408645.

It is not an unprimeable number, because it can be changed into a prime (408643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (36663).

2⁴⁰⁸⁶⁴⁵ is an apocalyptic number.

408645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408645 is a deficient number, since it is larger than the sum of its proper divisors (324615).

408645 is a wasteful number, since it uses less digits than its factorization.

408645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 408645 is about 639.2534708549. The cubic root of 408645 is about 74.2076587489.

The spelling of 408645 in words is "four hundred eight thousand, six hundred forty-five".