424320 has 128 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 98304.

The previous prime is 424313. The next prime is 424331. The reversal of 424320 is 23424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 424320.

It is a congruent number.

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, 24952 + ... + 24968.

2⁴²⁴³²⁰ is an apocalyptic number.

424320 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 424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

424320 is an abundant number, since it is smaller than the sum of its proper divisors (1117920).

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

424320 is a wasteful number, since it uses less digits than its factorization.

424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 424320 is about 651.3984955463. The cubic root of 424320 is about 75.1446098828.

Adding to 424320 its reverse (23424), we get a palindrome (447744).

The spelling of 424320 in words is "four hundred twenty-four thousand, three hundred twenty", and thus it is an iban number.