408924 has 36 divisors (see below), whose sum is σ = 1065064. Its totient is φ = 132192.

The previous prime is 408923. The next prime is 408943. The reversal of 408924 is 429804.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179 + ... + 1485.

2⁴⁰⁸⁹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532532).

408924 is an abundant number, since it is smaller than the sum of its proper divisors (656140).

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

408924 is a wasteful number, since it uses less digits than its factorization.

408924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 408924 is about 639.4716569169. The cubic root of 408924 is about 74.2245431895.

The spelling of 408924 in words is "four hundred eight thousand, nine hundred twenty-four".