544008976 has 105 divisors (see below), whose sum is σ = 1306274869. Its totient is φ = 219432192.

The previous prime is 544008943. The next prime is 544008977. The reversal of 544008976 is 679800445.

The square root of 544008976 is 23324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 423536400 + 120472576 = 20580^2 + 10976^2 .

It is a Duffinian number.

544008976 is a modest number, since divided by 8976 gives 544 as remainder.

It is not an unprimeable number, because it can be changed into a prime (544008977) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 32000520 + ... + 32000536.

Almost surely, 2^544008976 is an apocalyptic number.

544008976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

544008976 is the 23324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544008976

544008976 is an abundant number, since it is smaller than the sum of its proper divisors (762265893).

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

544008976 is an frugal number, since it uses more digits than its factorization.

544008976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 544008976 is about 816.3355101794.

The spelling of 544008976 in words is "five hundred forty-four million, eight thousand, nine hundred seventy-six".