4870800 has 240 divisors, whose sum is σ = 19373760. Its totient is φ = 1152000.

The previous prime is 4870799. The next prime is 4870819. The reversal of 4870800 is 80784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118780 + ... + 118820.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

Almost surely, 2^4870800 is an apocalyptic number.

4870800 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 4870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

4870800 is an abundant number, since it is smaller than the sum of its proper divisors (14502960).

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

4870800 is a wasteful number, since it uses less digits than its factorization.

4870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4870800 is about 2206.9888989299. The cubic root of 4870800 is about 169.5118638418.

The spelling of 4870800 in words is "four million, eight hundred seventy thousand, eight hundred".