55458144 has 72 divisors (see below), whose sum is σ = 180245520. Its totient is φ = 15844608.

The previous prime is 55458127. The next prime is 55458149. The reversal of 55458144 is 44185455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55458099 and 55458108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55458149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11739 + ... + 15770.

It is an arithmetic number, because the mean of its divisors is an integer number (2503410).

Almost surely, 2^55458144 is an apocalyptic number.

It is an amenable number.

55458144 is an abundant number, since it is smaller than the sum of its proper divisors (124787376).

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

55458144 is a wasteful number, since it uses less digits than its factorization.

55458144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27532 (or 27521 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 55458144 is about 7447.0224922448. The cubic root of 55458144 is about 381.3482669208.

It can be divided in two parts, 5545 and 8144, that added together give a square (13689 = 117²).

The spelling of 55458144 in words is "fifty-five million, four hundred fifty-eight thousand, one hundred forty-four".