544008960 has 504 divisors, whose sum is σ = 2171537424. Its totient is φ = 129392640.

The previous prime is 544008943. The next prime is 544008977. The reversal of 544008960 is 69800445.

It is an interprime number because it is at equal distance from previous prime (544008943) and next prime (544008977).

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 55 ways as a sum of consecutive naturals, for example, 10264294 + ... + 10264346.

It is an arithmetic number, because the mean of its divisors is an integer number (4308606).

Almost surely, 2^544008960 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 544008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085768712).

544008960 is an abundant number, since it is smaller than the sum of its proper divisors (1627528464).

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

544008960 is an equidigital number, since it uses as much as digits as its factorization.

544008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 544008960 is about 23323.9996570057. Note that the first 3 decimals coincide. The cubic root of 544008960 is about 816.3355021762.

The spelling of 544008960 in words is "five hundred forty-four million, eight thousand, nine hundred sixty".