4857673800 has 288 divisors, whose sum is σ = 17668869120. Its totient is φ = 1100736000.

The previous prime is 4857673787. The next prime is 4857673831. The reversal of 4857673800 is 83767584.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4857673800.

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 71 ways as a sum of consecutive naturals, for example, 3733150 + ... + 3734450.

It is an arithmetic number, because the mean of its divisors is an integer number (61350240).

Almost surely, 2^4857673800 is an apocalyptic number.

4857673800 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 4857673800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834434560).

4857673800 is an abundant number, since it is smaller than the sum of its proper divisors (12811195320).

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

4857673800 is a wasteful number, since it uses less digits than its factorization.

4857673800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 4857673800 is about 69697.0142832532. The cubic root of 4857673800 is about 1693.5945572502.

The spelling of 4857673800 in words is "four billion, eight hundred fifty-seven million, six hundred seventy-three thousand, eight hundred".