54414500 has 72 divisors (see below), whose sum is σ = 138306168. Its totient is φ = 18648000.

The previous prime is 54414463. The next prime is 54414509. The reversal of 54414500 is 541445.

54414500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 53611684 = 896^2 + 7322^2 .

It is not an unprimeable number, because it can be changed into a prime (54414509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23390 + ... + 25610.

It is an arithmetic number, because the mean of its divisors is an integer number (1920919).

Almost surely, 2^54414500 is an apocalyptic number.

54414500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69153084).

54414500 is an abundant number, since it is smaller than the sum of its proper divisors (83891668).

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

54414500 is a wasteful number, since it uses less digits than its factorization.

54414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 54414500 is about 7376.6184664791. The cubic root of 54414500 is about 378.9409570539.

Adding to 54414500 its reverse (541445), we get a palindrome (54955945).

The spelling of 54414500 in words is "fifty-four million, four hundred fourteen thousand, five hundred".