4829800 has 96 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1728000.

The previous prime is 4829789. The next prime is 4829809. The reversal of 4829800 is 89284.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4829809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117780 + ... + 117820.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^4829800 is an apocalyptic number.

4829800 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 4829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4829800 is an abundant number, since it is smaller than the sum of its proper divisors (7669400).

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

4829800 is a wasteful number, since it uses less digits than its factorization.

4829800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4829800 is about 2197.6805955370. The cubic root of 4829800 is about 169.0349005334.

The spelling of 4829800 in words is "four million, eight hundred twenty-nine thousand, eight hundred".