4904448000 has 416 divisors, whose sum is σ = 17010020352. Its totient is φ = 1253376000.

The previous prime is 4904447993. The next prime is 4904448023. The reversal of 4904448000 is 8444094.

It is a super-2 number, since 2×4904448000² = 48107220369408000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47615949 + ... + 47616051.

It is an arithmetic number, because the mean of its divisors is an integer number (40889472).

Almost surely, 2^4904448000 is an apocalyptic number.

4904448000 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 4904448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505010176).

4904448000 is an abundant number, since it is smaller than the sum of its proper divisors (12105572352).

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

4904448000 is a wasteful number, since it uses less digits than its factorization.

4904448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4904448000 is about 70031.7642216730. The cubic root of 4904448000 is about 1699.0130372635.

The spelling of 4904448000 in words is "four billion, nine hundred four million, four hundred forty-eight thousand".