424576 has 32 divisors (see below), whose sum is σ = 881280. Its totient is φ = 203520.

The previous prime is 424573. The next prime is 424577. The reversal of 424576 is 675424.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (6720) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (424573) 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, 3915 + ... + 4021.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2⁴²⁴⁵⁷⁶ 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 424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

424576 is an abundant number, since it is smaller than the sum of its proper divisors (456704).

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

424576 is a wasteful number, since it uses less digits than its factorization.

424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 424576 is about 651.5949662175. The cubic root of 424576 is about 75.1597188829.

It can be divided in two parts, 424 and 576, that added together give a cube (1000 = 10³).

The spelling of 424576 in words is "four hundred twenty-four thousand, five hundred seventy-six".