4480352100 has 432 divisors, whose sum is σ = 16817673600. Its totient is φ = 976066560.

The previous prime is 4480352099. The next prime is 4480352113. The reversal of 4480352100 is 12530844.

4480352100 is a `hidden beast` number, since 448 + 0 + 3 + 5 + 210 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25029811 + ... + 25029989.

It is an arithmetic number, because the mean of its divisors is an integer number (38929800).

Almost surely, 2^4480352100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4480352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408836800).

4480352100 is an abundant number, since it is smaller than the sum of its proper divisors (12337321500).

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

4480352100 is a wasteful number, since it uses less digits than its factorization.

4480352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4480352100 is about 66935.4323210062. The cubic root of 4480352100 is about 1648.5573064276.

Adding to 4480352100 its reverse (12530844), we get a palindrome (4492882944).

The spelling of 4480352100 in words is "four billion, four hundred eighty million, three hundred fifty-two thousand, one hundred".