4480963200 has 768 divisors, whose sum is σ = 19427328000. Its totient is φ = 987033600.

The previous prime is 4480963171. The next prime is 4480963213. The reversal of 4480963200 is 23690844.

It is a happy number.

4480963200 is a `hidden beast` number, since 448 + 0 + 9 + 6 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18748681 + ... + 18748919.

It is an arithmetic number, because the mean of its divisors is an integer number (25296000).

Almost surely, 2^4480963200 is an apocalyptic number.

4480963200 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 4480963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713664000).

4480963200 is an abundant number, since it is smaller than the sum of its proper divisors (14946364800).

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

4480963200 is a wasteful number, since it uses less digits than its factorization.

4480963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4480963200 is about 66939.9970122497. The cubic root of 4480963200 is about 1648.6322549694.

The spelling of 4480963200 in words is "four billion, four hundred eighty million, nine hundred sixty-three thousand, two hundred".