40264 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 17232.

The previous prime is 40253. The next prime is 40277. The reversal of 40264 is 46204.

It is an unprimeable number.

40264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁴⁰²⁶⁴ is an apocalyptic number.

It is an amenable number.

40264 is an abundant number, since it is smaller than the sum of its proper divisors (46136).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

40264 is a wasteful number, since it uses less digits than its factorization.

40264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 40264 is about 200.6589145789. The cubic root of 40264 is about 34.2745929538.

Adding to 40264 its reverse (46204), we get a palindrome (86468).

The spelling of 40264 in words is "forty thousand, two hundred sixty-four".