4442904000 has 448 divisors, whose sum is σ = 16597701120. Its totient is φ = 1163289600.

The previous prime is 4442903977. The next prime is 4442904013. The reversal of 4442904000 is 4092444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14471847 + ... + 14472153.

It is an arithmetic number, because the mean of its divisors is an integer number (37048440).

Almost surely, 2^4442904000 is an apocalyptic number.

4442904000 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 4442904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298850560).

4442904000 is an abundant number, since it is smaller than the sum of its proper divisors (12154797120).

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

4442904000 is a wasteful number, since it uses less digits than its factorization.

4442904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4442904000 is about 66655.1123320635. The cubic root of 4442904000 is about 1643.9514078024.

Adding to 4442904000 its reverse (4092444), we get a palindrome (4446996444).

The spelling of 4442904000 in words is "four billion, four hundred forty-two million, nine hundred four thousand".