423264 has 24 divisors (see below), whose sum is σ = 1111320. Its totient is φ = 141056.

The previous prime is 423259. The next prime is 423277. The reversal of 423264 is 462324.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 423264.

It is a congruent number.

It is an unprimeable number.

423264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2109 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

2⁴²³²⁶⁴ is an apocalyptic number.

It is an amenable number.

423264 is an abundant number, since it is smaller than the sum of its proper divisors (688056).

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

423264 is a wasteful number, since it uses less digits than its factorization.

423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4414 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 423264 is about 650.5874268690. The cubic root of 423264 is about 75.0822209411.

Adding to 423264 its reverse (462324), we get a palindrome (885588).

Subtracting 423264 from its reverse (462324), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 423264 in words is "four hundred twenty-three thousand, two hundred sixty-four".