55464 has 16 divisors (see below), whose sum is σ = 138720. Its totient is φ = 18480.

The previous prime is 55457. The next prime is 55469. The reversal of 55464 is 46455.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2311 = 55464 / (5 + 5 + 4 + 6 + 4).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (55469) by changing a digit.

55464 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, 1132 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (8670).

2⁵⁵⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

55464 is an abundant number, since it is smaller than the sum of its proper divisors (83256).

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 (69360).

55464 is a wasteful number, since it uses less digits than its factorization.

55464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2316 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 55464 is about 235.5079616489. The cubic root of 55464 is about 38.1361689036.

Subtracting from 55464 its reverse (46455), we obtain a palindrome (9009).

The spelling of 55464 in words is "fifty-five thousand, four hundred sixty-four".