4474982304 has 288 divisors, whose sum is σ = 14435051904. Its totient is φ = 1304709120.

The previous prime is 4474982273. The next prime is 4474982311. The reversal of 4474982304 is 4032894744.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4474982304² = 40050933242226296832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4474982304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13519419 + ... + 13519749.

It is an arithmetic number, because the mean of its divisors is an integer number (50121708).

Almost surely, 2^4474982304 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 4474982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217525952).

4474982304 is an abundant number, since it is smaller than the sum of its proper divisors (9960069600).

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

4474982304 is a wasteful number, since it uses less digits than its factorization.

4474982304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4474982304 is about 66895.3085350535. The cubic root of 4474982304 is about 1647.8984329588.

The spelling of 4474982304 in words is "four billion, four hundred seventy-four million, nine hundred eighty-two thousand, three hundred four".