4835476800 has 1008 divisors, whose sum is σ = 22110192000. Its totient is φ = 993484800.

The previous prime is 4835476799. The next prime is 4835476843. The reversal of 4835476800 is 86745384.

4835476800 is a `hidden beast` number, since 48 + 3 + 547 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 54331156 + ... + 54331244.

Almost surely, 2^4835476800 is an apocalyptic number.

4835476800 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 4835476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055096000).

4835476800 is an abundant number, since it is smaller than the sum of its proper divisors (17274715200).

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

4835476800 is a wasteful number, since it uses less digits than its factorization.

4835476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4835476800 is about 69537.5927107058. The cubic root of 4835476800 is about 1691.0110076369.

The spelling of 4835476800 in words is "four billion, eight hundred thirty-five million, four hundred seventy-six thousand, eight hundred".