4882800 has 120 divisors (see below), whose sum is σ = 16898224. Its totient is φ = 1198080.

The previous prime is 4882789. The next prime is 4882811. The reversal of 4882800 is 82884.

It is an interprime number because it is at equal distance from previous prime (4882789) and next prime (4882811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15444 + ... + 15756.

Almost surely, 2^4882800 is an apocalyptic number.

4882800 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 4882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449112).

4882800 is an abundant number, since it is smaller than the sum of its proper divisors (12015424).

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

4882800 is a wasteful number, since it uses less digits than its factorization.

4882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4882800 is about 2209.7058627790. The cubic root of 4882800 is about 169.6509562681.

The spelling of 4882800 in words is "four million, eight hundred eighty-two thousand, eight hundred".