405832 has 16 divisors (see below), whose sum is σ = 869760. Its totient is φ = 173904.

The previous prime is 405829. The next prime is 405857. The reversal of 405832 is 238504.

It is a super-2 number, since 2×405832² = 329399224448, which contains 22 as substring.

It is a d-powerful number, because it can be written as 4⁹ + 0 + 8⁵ + 5⁷ + 3³ + 2¹⁵ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3568 + ... + 3679.

It is an arithmetic number, because the mean of its divisors is an integer number (54360).

2⁴⁰⁵⁸³² is an apocalyptic number.

It is an amenable number.

405832 is an abundant number, since it is smaller than the sum of its proper divisors (463928).

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

405832 is a wasteful number, since it uses less digits than its factorization.

405832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 405832 is about 637.0494486302. The cubic root of 405832 is about 74.0369914884.

The spelling of 405832 in words is "four hundred five thousand, eight hundred thirty-two".