4464746880 has 256 divisors, whose sum is σ = 15625094400. Its totient is φ = 1075404800.

The previous prime is 4464746851. The next prime is 4464746887. The reversal of 4464746880 is 886474644.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464746887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3779890 + ... + 3781070.

It is an arithmetic number, because the mean of its divisors is an integer number (61035525).

Almost surely, 2^4464746880 is an apocalyptic number.

4464746880 is a gapful number since it is divisible by the number (40) 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 4464746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812547200).

4464746880 is an abundant number, since it is smaller than the sum of its proper divisors (11160347520).

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

4464746880 is a wasteful number, since it uses less digits than its factorization.

4464746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The square root of 4464746880 is about 66818.7614371892. The cubic root of 4464746880 is about 1646.6410860726.

It can be divided in two parts, 446474 and 6880, that added together give a palindrome (453354).

The spelling of 4464746880 in words is "four billion, four hundred sixty-four million, seven hundred forty-six thousand, eight hundred eighty".