4804056000 has 448 divisors, whose sum is σ = 18410895360. Its totient is φ = 1224115200.

The previous prime is 4804055953. The next prime is 4804056001. The reversal of 4804056000 is 6504084.

It is a super-2 number, since 2×4804056000² = 46157908102272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4804056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4967517 + ... + 4968483.

Almost surely, 2^4804056000 is an apocalyptic number.

4804056000 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 4804056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205447680).

4804056000 is an abundant number, since it is smaller than the sum of its proper divisors (13606839360).

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

4804056000 is a wasteful number, since it uses less digits than its factorization.

4804056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1000 counting only the distinct ones).

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

The square root of 4804056000 is about 69311.2977803763. The cubic root of 4804056000 is about 1687.3403305717.

The spelling of 4804056000 in words is "four billion, eight hundred four million, fifty-six thousand".