424704 has 72 divisors (see below), whose sum is σ = 1308160. Its totient is φ = 119808.

The previous prime is 424693. The next prime is 424709. The reversal of 424704 is 407424.

424704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5337 + ... + 5415.

2⁴²⁴⁷⁰⁴ 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 424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654080).

424704 is an abundant number, since it is smaller than the sum of its proper divisors (883456).

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

424704 is an equidigital number, since it uses as much as digits as its factorization.

424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 424704 is about 651.6931793413. The cubic root of 424704 is about 75.1672711055.

424704 divided by its product of nonzero digits (896) gives a palindrome (474).

It can be divided in two parts, 424 and 704, that added together give a triangular number (1128 = T₄₇).

The spelling of 424704 in words is "four hundred twenty-four thousand, seven hundred four", and thus it is an iban number.