42264 has 24 divisors (see below), whose sum is σ = 114660. Its totient is φ = 14064.

The previous prime is 42257. The next prime is 42281. The reversal of 42264 is 46224.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 4³ + 2¹³ + 2¹⁵ + 6³ + 4⁵ .

It is a plaindrome in base 14.

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 42264.

It is an unprimeable number.

42264 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 5 ways as a sum of consecutive naturals, for example, 222 + ... + 365.

2⁴²²⁶⁴ is an apocalyptic number.

It is an amenable number.

42264 is an abundant number, since it is smaller than the sum of its proper divisors (72396).

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

42264 is a wasteful number, since it uses less digits than its factorization.

42264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 42264 is about 205.5821003881. The cubic root of 42264 is about 34.8329454156.

Adding to 42264 its reverse (46224), we get a palindrome (88488).

The spelling of 42264 in words is "forty-two thousand, two hundred sixty-four".