408624 has 20 divisors (see below), whose sum is σ = 1055736. Its totient is φ = 136192.

The previous prime is 408623. The next prime is 408631. The reversal of 408624 is 426804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 408594 and 408603.

It is not an unprimeable number, because it can be changed into a prime (408623) 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, 4209 + ... + 4304.

2⁴⁰⁸⁶²⁴ is an apocalyptic number.

It is an amenable number.

408624 is an abundant number, since it is smaller than the sum of its proper divisors (647112).

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

408624 is a wasteful number, since it uses less digits than its factorization.

408624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 408624 is about 639.2370452344. The cubic root of 408624 is about 74.2063875660.

The spelling of 408624 in words is "four hundred eight thousand, six hundred twenty-four".