44467000384 has 63 divisors (see below), whose sum is σ = 90486613413. Its totient is φ = 21681015552.

The previous prime is 44467000339. The next prime is 44467000433. The reversal of 44467000384 is 48300076444.

The square root of 44467000384 is 210872.

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., 144961600 + 44322038784 = 12040^2 + 210528^2 .

It is a super-3 number, since 3×44467000384³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72539662 + ... + 72540274.

It is an arithmetic number, because the mean of its divisors is an integer number (1436295451).

Almost surely, 2^44467000384 is an apocalyptic number.

44467000384 is the 210872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44467000384

44467000384 is an abundant number, since it is smaller than the sum of its proper divisors (46019613029).

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

44467000384 is an frugal number, since it uses more digits than its factorization.

44467000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 44467000384 in words is "forty-four billion, four hundred sixty-seven million, three hundred eighty-four", and thus it is an aban number.