427584 has 56 divisors (see below), whose sum is σ = 1207008. Its totient is φ = 133120.

The previous prime is 427579. The next prime is 427591. The reversal of 427584 is 485724.

It is an Ulam number.

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 427584.

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, 3199 + ... + 3329.

2⁴²⁷⁵⁸⁴ 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 427584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603504).

427584 is an abundant number, since it is smaller than the sum of its proper divisors (779424).

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

427584 is a wasteful number, since it uses less digits than its factorization.

427584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 427584 is about 653.8990747814. The cubic root of 427584 is about 75.3367964228.

It can be divided in two parts, 42 and 7584, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 427584 in words is "four hundred twenty-seven thousand, five hundred eighty-four".