405624 has 16 divisors (see below), whose sum is σ = 1014120. Its totient is φ = 135200.

The previous prime is 405611. The next prime is 405641. The reversal of 405624 is 426504.

It is a happy number.

405624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 405624.

It is a congruent number.

It is an unprimeable number.

405624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8427 + ... + 8474.

2⁴⁰⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

405624 is an abundant number, since it is smaller than the sum of its proper divisors (608496).

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

405624 is a wasteful number, since it uses less digits than its factorization.

405624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16910 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405624 is about 636.8861750737. The cubic root of 405624 is about 74.0243406658.

It can be divided in two parts, 4056 and 24, that multiplied together give a square (97344 = 312²).

The spelling of 405624 in words is "four hundred five thousand, six hundred twenty-four".