4468960 has 96 divisors (see below), whose sum is σ = 11757312. Its totient is φ = 1597440.

The previous prime is 4468939. The next prime is 4468979. The reversal of 4468960 is 698644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84294 + ... + 84346.

It is an arithmetic number, because the mean of its divisors is an integer number (122472).

Almost surely, 2^4468960 is an apocalyptic number.

4468960 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 4468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878656).

4468960 is an abundant number, since it is smaller than the sum of its proper divisors (7288352).

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

4468960 is a wasteful number, since it uses less digits than its factorization.

4468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 4468960 is about 2113.9914853187. The cubic root of 4468960 is about 164.7158869473.

The spelling of 4468960 in words is "four million, four hundred sixty-eight thousand, nine hundred sixty".