4468009360 has 120 divisors (see below), whose sum is σ = 11117759400. Its totient is φ = 1669496832.

The previous prime is 4468009319. The next prime is 4468009367. The reversal of 4468009360 is 639008644.

It can be written as a sum of positive squares in 12 ways, for example, as 2027776 + 4465981584 = 1424^2 + 66828^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4468009367) 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 23 ways as a sum of consecutive naturals, for example, 3444232 + ... + 3445528.

It is an arithmetic number, because the mean of its divisors is an integer number (92647995).

Almost surely, 2^4468009360 is an apocalyptic number.

4468009360 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 4468009360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558879700).

4468009360 is an abundant number, since it is smaller than the sum of its proper divisors (6649750040).

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

4468009360 is a wasteful number, since it uses less digits than its factorization.

4468009360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 4468009360 is about 66843.1698829432. The cubic root of 4468009360 is about 1647.0420662981.

The spelling of 4468009360 in words is "four billion, four hundred sixty-eight million, nine thousand, three hundred sixty".