54004461 has 16 divisors (see below), whose sum is σ = 87133824. Its totient is φ = 29044224.

The previous prime is 54004453. The next prime is 54004477. The reversal of 54004461 is 16440045.

54004461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54004461 - 2³ = 54004453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54004661) 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 15 ways as a sum of consecutive naturals, for example, 75280 + ... + 75993.

It is an arithmetic number, because the mean of its divisors is an integer number (5445864).

Almost surely, 2^54004461 is an apocalyptic number.

54004461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54004461 is a deficient number, since it is larger than the sum of its proper divisors (33129363).

54004461 is a wasteful number, since it uses less digits than its factorization.

54004461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151300.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54004461 is about 7348.7727546850. The cubic root of 54004461 is about 377.9867230296.

The spelling of 54004461 in words is "fifty-four million, four thousand, four hundred sixty-one".