4480003200 has 384 divisors, whose sum is σ = 15840861120. Its totient is φ = 1108869120.

The previous prime is 4480003193. The next prime is 4480003207. The reversal of 4480003200 is 23000844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4480003193) and next prime (4480003207).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480003207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15830259 + ... + 15830541.

Almost surely, 2^4480003200 is an apocalyptic number.

4480003200 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 4480003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920430560).

4480003200 is an abundant number, since it is smaller than the sum of its proper divisors (11360857920).

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

4480003200 is a wasteful number, since it uses less digits than its factorization.

4480003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4480003200 is about 66932.8260272940. The cubic root of 4480003200 is about 1648.5145124267.

The spelling of 4480003200 in words is "four billion, four hundred eighty million, three thousand, two hundred".