4878806400 has 576 divisors, whose sum is σ = 19094559120. Its totient is φ = 1178910720.

The previous prime is 4878806363. The next prime is 4878806411. The reversal of 4878806400 is 46088784.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31075122 + ... + 31075278.

Almost surely, 2^4878806400 is an apocalyptic number.

4878806400 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 4878806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547279560).

4878806400 is an abundant number, since it is smaller than the sum of its proper divisors (14215752720).

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

4878806400 is a wasteful number, since it uses less digits than its factorization.

4878806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4878806400 is about 69848.4530966864. The cubic root of 4878806400 is about 1696.0469163478.

The spelling of 4878806400 in words is "four billion, eight hundred seventy-eight million, eight hundred six thousand, four hundred".