44491464900 has 243 divisors, whose sum is σ = 142848474951. Its totient is φ = 11582588160.

The previous prime is 44491464889. The next prime is 44491464943. The reversal of 44491464900 is 946419444.

The square root of 44491464900 is 210930.

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

44491464900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9258673284 + 35232791616 = 96222^2 + 187704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 499904056 + ... + 499904144.

Almost surely, 2^44491464900 is an apocalyptic number.

44491464900 is the 210930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44491464900

44491464900 is an abundant number, since it is smaller than the sum of its proper divisors (98357010051).

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

44491464900 is a wasteful number, since it uses less digits than its factorization.

44491464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 44491464900 in words is "forty-four billion, four hundred ninety-one million, four hundred sixty-four thousand, nine hundred".