44280784900 has 81 divisors (see below), whose sum is σ = 105674060863. Its totient is φ = 16093686400.

The previous prime is 44280784831. The next prime is 44280784903. The reversal of 44280784900 is 948708244.

It is a happy number.

The square root of 44280784900 is 210430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3279394756 + 41001390144 = 57266^2 + 202488^2 .

It is a super-2 number, since 2×44280784900² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44280784903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23146344 + ... + 23148256.

Almost surely, 2^44280784900 is an apocalyptic number.

44280784900 is the 210430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44280784900

44280784900 is an abundant number, since it is smaller than the sum of its proper divisors (61393275963).

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

44280784900 is a wasteful number, since it uses less digits than its factorization.

44280784900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 44280784900 in words is "forty-four billion, two hundred eighty million, seven hundred eighty-four thousand, nine hundred".