53460 has 72 divisors (see below), whose sum is σ = 183456. Its totient is φ = 12960.

The previous prime is 53453. The next prime is 53479. The reversal of 53460 is 6435.

It is a happy number.

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

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 53460.

It is an unprimeable number.

53460 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 23 ways as a sum of consecutive naturals, for example, 4855 + ... + 4865.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2⁵³⁴⁶⁰ 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 53460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

53460 is an abundant number, since it is smaller than the sum of its proper divisors (129996).

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

53460 is a wasteful number, since it uses less digits than its factorization.

53460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53460 is about 231.2141864160. The cubic root of 53460 is about 37.6712170693.

Adding to 53460 its reverse (6435), we get a palindrome (59895).

The spelling of 53460 in words is "fifty-three thousand, four hundred sixty".