905424 has 40 divisors (see below), whose sum is σ = 2520672. Its totient is φ = 278400.

The previous prime is 905413. The next prime is 905449. The reversal of 905424 is 424509.

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

It is a junction number, because it is equal to n+sod(n) for n = 905394 and 905403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 1349.

2⁹⁰⁵⁴²⁴ 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 905424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260336).

905424 is an abundant number, since it is smaller than the sum of its proper divisors (1615248).

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

905424 is a wasteful number, since it uses less digits than its factorization.

905424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 905424 is about 951.5377028789. The cubic root of 905424 is about 96.7425062134.

The spelling of 905424 in words is "nine hundred five thousand, four hundred twenty-four".