4461464448 has 384 divisors, whose sum is σ = 15730391040. Its totient is φ = 1231718400.

The previous prime is 4461464393. The next prime is 4461464453. The reversal of 4461464448 is 8444641644.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 6749238 + ... + 6749898.

It is an arithmetic number, because the mean of its divisors is an integer number (40964560).

Almost surely, 2^4461464448 is an apocalyptic number.

4461464448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865195520).

4461464448 is an abundant number, since it is smaller than the sum of its proper divisors (11268926592).

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

4461464448 is an equidigital number, since it uses as much as digits as its factorization.

4461464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The square root of 4461464448 is about 66794.1947178046. The cubic root of 4461464448 is about 1646.2374564348.

The spelling of 4461464448 in words is "four billion, four hundred sixty-one million, four hundred sixty-four thousand, four hundred forty-eight".