52464 has 20 divisors (see below), whose sum is σ = 135656. Its totient is φ = 17472.

The previous prime is 52457. The next prime is 52489. The reversal of 52464 is 46425.

It is a happy number.

52464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 52464.

It is a congruent number.

It is an unprimeable number.

52464 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, 499 + ... + 594.

2⁵²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

52464 is an abundant number, since it is smaller than the sum of its proper divisors (83192).

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 (67828).

52464 is a wasteful number, since it uses less digits than its factorization.

52464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

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

The square root of 52464 is about 229.0502128355. The cubic root of 52464 is about 37.4358012678.

Adding to 52464 its reverse (46425), we get a palindrome (98889).

The spelling of 52464 in words is "fifty-two thousand, four hundred sixty-four".