4469819904 has 240 divisors, whose sum is σ = 14185458144. Its totient is φ = 1343692800.

The previous prime is 4469819903. The next prime is 4469819917. The reversal of 4469819904 is 4099189644.

It is a happy number.

4469819904 is a `hidden beast` number, since 446 + 9 + 8 + 199 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4469819903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8261874 + ... + 8262414.

Almost surely, 2^4469819904 is an apocalyptic number.

4469819904 is a gapful number since it is divisible by the number (44) 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 4469819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092729072).

4469819904 is an abundant number, since it is smaller than the sum of its proper divisors (9715638240).

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

4469819904 is a wasteful number, since it uses less digits than its factorization.

4469819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 4469819904 is about 66856.7117348737. The cubic root of 4469819904 is about 1647.2645098356.

The spelling of 4469819904 in words is "four billion, four hundred sixty-nine million, eight hundred nineteen thousand, nine hundred four".