54546444 has 72 divisors (see below), whose sum is σ = 142855440. Its totient is φ = 17539200.

The previous prime is 54546433. The next prime is 54546467. The reversal of 54546444 is 44464545.

54546444 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 644 + 4 = 666.

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 = 54546399 and 54546408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129354 + ... + 129774.

Almost surely, 2^54546444 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 54546444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71427720).

54546444 is an abundant number, since it is smaller than the sum of its proper divisors (88308996).

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

54546444 is a wasteful number, since it uses less digits than its factorization.

54546444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 546 counting only the distinct ones).

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

The square root of 54546444 is about 7385.5564448456. The cubic root of 54546444 is about 379.2469945229.

The spelling of 54546444 in words is "fifty-four million, five hundred forty-six thousand, four hundred forty-four".