408340 has 24 divisors (see below), whose sum is σ = 908712. Its totient is φ = 153600.

The previous prime is 408337. The next prime is 408341. The reversal of 408340 is 43804.

It can be written as a sum of positive squares in 4 ways, for example, as 3844 + 404496 = 62^2 + 636^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 940.

It is an arithmetic number, because the mean of its divisors is an integer number (37863).

2⁴⁰⁸³⁴⁰ is an apocalyptic number.

It is an amenable number.

408340 is an abundant number, since it is smaller than the sum of its proper divisors (500372).

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

408340 is a wasteful number, since it uses less digits than its factorization.

408340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 408340 is about 639.0148668067. The cubic root of 408340 is about 74.1891920527.

Subtracting from 408340 its sum of digits (19), we obtain a square (408321 = 639²).

The spelling of 408340 in words is "four hundred eight thousand, three hundred forty".