4466248900 has 81 divisors (see below), whose sum is σ = 9995228103. Its totient is φ = 1732233600.

The previous prime is 4466248811. The next prime is 4466248933. The reversal of 4466248900 is 98426644.

The square root of 4466248900 is 66830.

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 1879916164 + 2586332736 = 43358^2 + 50856^2 .

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 26 ways as a sum of consecutive naturals, for example, 27400219 + ... + 27400381.

Almost surely, 2^4466248900 is an apocalyptic number.

4466248900 is the 66830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4466248900

4466248900 is an abundant number, since it is smaller than the sum of its proper divisors (5528979203).

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

4466248900 is a wasteful number, since it uses less digits than its factorization.

4466248900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The cubic root of 4466248900 is about 1646.8257184537.

The spelling of 4466248900 in words is "four billion, four hundred sixty-six million, two hundred forty-eight thousand, nine hundred".