408632 has 16 divisors (see below), whose sum is σ = 875760. Its totient is φ = 175104.

The previous prime is 408631. The next prime is 408637. The reversal of 408632 is 236804.

It is a happy number.

It is a super-2 number, since 2×408632² = 333960222848, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 408598 and 408607.

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 408632.

It is not an unprimeable number, because it can be changed into a prime (408631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3593 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (54735).

2⁴⁰⁸⁶³² is an apocalyptic number.

It is an amenable number.

408632 is an abundant number, since it is smaller than the sum of its proper divisors (467128).

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

408632 is a wasteful number, since it uses less digits than its factorization.

408632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 408632 is about 639.2433026634. The cubic root of 408632 is about 74.2068718313.

The spelling of 408632 in words is "four hundred eight thousand, six hundred thirty-two".