424560 has 80 divisors (see below), whose sum is σ = 1383840. Its totient is φ = 107520.

The previous prime is 424559. The next prime is 424573. The reversal of 424560 is 65424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 424560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6930 + ... + 6990.

It is an arithmetic number, because the mean of its divisors is an integer number (17298).

2⁴²⁴⁵⁶⁰ is an apocalyptic number.

424560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920).

424560 is an abundant number, since it is smaller than the sum of its proper divisors (959280).

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

424560 is a wasteful number, since it uses less digits than its factorization.

424560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

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

The square root of 424560 is about 651.5826885362. The cubic root of 424560 is about 75.1587747483.

Adding to 424560 its sum of digits (21), we get a triangular number (424581 = T₉₂₁).

Adding to 424560 its reverse (65424), we get a palindrome (489984).

The spelling of 424560 in words is "four hundred twenty-four thousand, five hundred sixty".