52440 has 64 divisors (see below), whose sum is σ = 172800. Its totient is φ = 12672.

The previous prime is 52433. The next prime is 52453. The reversal of 52440 is 4425.

52440 = T₂₄ + T₂₅ + ... + T₆₈.

52440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 229²-1.

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

It is a congruent number.

It is an unprimeable number.

52440 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 15 ways as a sum of consecutive naturals, for example, 2269 + ... + 2291.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2⁵²⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

52440 is an abundant number, since it is smaller than the sum of its proper divisors (120360).

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

52440 is a wasteful number, since it uses less digits than its factorization.

52440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 52440 is about 228.9978165835. The cubic root of 52440 is about 37.4300919797.

Subtracting from 52440 its sum of digits (15), we obtain a palindrome (52425).

Adding to 52440 its reverse (4425), we get a palindrome (56865).

The spelling of 52440 in words is "fifty-two thousand, four hundred forty".