544561920 has 288 divisors, whose sum is σ = 2209482240. Its totient is φ = 124416000.

The previous prime is 544561883. The next prime is 544561949. The reversal of 544561920 is 29165445.

544561920 is a `hidden beast` number, since 5 + 4 + 4 + 561 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 240795 + ... + 243045.

Almost surely, 2^544561920 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 544561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104741120).

544561920 is an abundant number, since it is smaller than the sum of its proper divisors (1664920320).

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

544561920 is a wasteful number, since it uses less digits than its factorization.

544561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 544561920 is about 23335.8505308892. The cubic root of 544561920 is about 816.6119976362.

The spelling of 544561920 in words is "five hundred forty-four million, five hundred sixty-one thousand, nine hundred twenty".