4382973504 has 672 divisors, whose sum is σ = 16982318080. Its totient is φ = 1088391168.

The previous prime is 4382973499. The next prime is 4382973521. The reversal of 4382973504 is 4053792834.

4382973504 is a `hidden beast` number, since 4 + 3 + 8 + 297 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 4382973504.

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, 26889327 + ... + 26889489.

Almost surely, 2^4382973504 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 4382973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491159040).

4382973504 is an abundant number, since it is smaller than the sum of its proper divisors (12599344576).

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

4382973504 is a wasteful number, since it uses less digits than its factorization.

4382973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4382973504 is about 66204.0293637782. The cubic root of 4382973504 is about 1636.5261467693.

The spelling of 4382973504 in words is "four billion, three hundred eighty-two million, nine hundred seventy-three thousand, five hundred four".