544564800 has 252 divisors, whose sum is σ = 2085113940. Its totient is φ = 134000640.

The previous prime is 544564799. The next prime is 544564849. The reversal of 544564800 is 8465445.

544564800 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9290304 + 535274496 = 3048^2 + 23136^2 .

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 35 ways as a sum of consecutive naturals, for example, 185746 + ... + 188654.

Almost surely, 2^544564800 is an apocalyptic number.

544564800 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 544564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042556970).

544564800 is an abundant number, since it is smaller than the sum of its proper divisors (1540549140).

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

544564800 is a wasteful number, since it uses less digits than its factorization.

544564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 544564800 is about 23335.9122384363. The cubic root of 544564800 is about 816.6134372266.

The spelling of 544564800 in words is "five hundred forty-four million, five hundred sixty-four thousand, eight hundred".