54000468 has 36 divisors (see below), whose sum is σ = 137510100. Its totient is φ = 17867136.

The previous prime is 54000467. The next prime is 54000473. The reversal of 54000468 is 86400045.

It can be written as a sum of positive squares in 2 ways, for example, as 14837904 + 39162564 = 3852^2 + 6258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54000461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543 + ... + 10406.

It is an arithmetic number, because the mean of its divisors is an integer number (3819725).

Almost surely, 2^54000468 is an apocalyptic number.

It is an amenable number.

54000468 is an abundant number, since it is smaller than the sum of its proper divisors (83509632).

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

54000468 is a wasteful number, since it uses less digits than its factorization.

54000468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11096 (or 11091 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54000468 is about 7348.5010716472. The cubic root of 54000468 is about 377.9774068969.

The spelling of 54000468 in words is "fifty-four million, four hundred sixty-eight", and thus it is an aban number.