408135 has 48 divisors (see below), whose sum is σ = 843264. Its totient is φ = 164736.

The previous prime is 408131. The next prime is 408137. The reversal of 408135 is 531804.

It is not a de Polignac number, because 408135 - 2² = 408131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17734 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (17568).

2⁴⁰⁸¹³⁵ is an apocalyptic number.

408135 is an abundant number, since it is smaller than the sum of its proper divisors (435129).

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

408135 is a wasteful number, since it uses less digits than its factorization.

408135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 408135 is about 638.8544435159. The cubic root of 408135 is about 74.1767748430.

Adding to 408135 its sum of digits (21), we get a triangular number (408156 = T₉₀₃).

Adding to 408135 its reverse (531804), we get a palindrome (939939).

The spelling of 408135 in words is "four hundred eight thousand, one hundred thirty-five".