544272000 has 512 divisors, whose sum is σ = 2062195200. Its totient is φ = 126156800.

The previous prime is 544271969. The next prime is 544272067. The reversal of 544272000 is 272445.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 18767986 + ... + 18768014.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^544272000 is an apocalyptic number.

544272000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031097600).

544272000 is an abundant number, since it is smaller than the sum of its proper divisors (1517923200).

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

544272000 is a wasteful number, since it uses less digits than its factorization.

544272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 544272000 is about 23329.6378025892. The cubic root of 544272000 is about 816.4670528840.

The spelling of 544272000 in words is "five hundred forty-four million, two hundred seventy-two thousand".