405438 has 16 divisors (see below), whose sum is σ = 884736. Its totient is φ = 122840.

The previous prime is 405437. The next prime is 405439. The reversal of 405438 is 834504.

It is a happy number.

405438 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (405437) and next prime (405439).

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 405438.

It is not an unprimeable number, because it can be changed into a prime (405437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3006 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (55296).

2⁴⁰⁵⁴³⁸ is an apocalyptic number.

405438 is an abundant number, since it is smaller than the sum of its proper divisors (479298).

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

405438 is a wasteful number, since it uses less digits than its factorization.

405438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 405438 is about 636.7401353771. The cubic root of 405438 is about 74.0130242476.

The spelling of 405438 in words is "four hundred five thousand, four hundred thirty-eight".