4464768 has 128 divisors (see below), whose sum is σ = 14883840. Its totient is φ = 1152000.

The previous prime is 4464767. The next prime is 4464781. The reversal of 4464768 is 8674644.

It is a Cunningham number, because it is equal to 2113²-1.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (4464763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29493 + ... + 29643.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

Almost surely, 2^4464768 is an apocalyptic number.

4464768 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 4464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441920).

4464768 is an abundant number, since it is smaller than the sum of its proper divisors (10419072).

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

4464768 is a wasteful number, since it uses less digits than its factorization.

4464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4464768 is about 2112.9997633696. Note that the first 3 decimals coincide. The cubic root of 4464768 is about 164.6643682487.

The spelling of 4464768 in words is "four million, four hundred sixty-four thousand, seven hundred sixty-eight".