544116000 has 96 divisors (see below), whose sum is σ = 1782563328. Its totient is φ = 145094400.

The previous prime is 544115993. The next prime is 544116011. The reversal of 544116000 is 611445.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 10672 + ... + 34671.

It is an arithmetic number, because the mean of its divisors is an integer number (18568368).

Almost surely, 2^544116000 is an apocalyptic number.

544116000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

544116000 is an abundant number, since it is smaller than the sum of its proper divisors (1238447328).

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

544116000 is a wasteful number, since it uses less digits than its factorization.

544116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45371 (or 45353 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 544116000 is about 23326.2941763153. The cubic root of 544116000 is about 816.3890397881.

Adding to 544116000 its reverse (611445), we get a palindrome (544727445).

The spelling of 544116000 in words is "five hundred forty-four million, one hundred sixteen thousand".