54564444 has 72 divisors (see below), whose sum is σ = 151377408. Its totient is φ = 16434720.

The previous prime is 54564383. The next prime is 54564467. The reversal of 54564444 is 44446545.

54564444 is a `hidden beast` number, since 5 + 4 + 5 + 644 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 54564399 and 54564408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89589 + ... + 90195.

It is an arithmetic number, because the mean of its divisors is an integer number (2102464).

Almost surely, 2^54564444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54564444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75688704).

54564444 is an abundant number, since it is smaller than the sum of its proper divisors (96812964).

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

54564444 is a wasteful number, since it uses less digits than its factorization.

54564444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 850 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 54564444 is about 7386.7749390380. The cubic root of 54564444 is about 379.2887063476.

The spelling of 54564444 in words is "fifty-four million, five hundred sixty-four thousand, four hundred forty-four".