4820800 has 84 divisors (see below), whose sum is σ = 12472416. Its totient is φ = 1830400.

The previous prime is 4820791. The next prime is 4820807. The reversal of 4820800 is 80284.

It is a super-2 number, since 2×4820800² = 46480225280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36735 + ... + 36865.

Almost surely, 2^4820800 is an apocalyptic number.

4820800 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 4820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236208).

4820800 is an abundant number, since it is smaller than the sum of its proper divisors (7651616).

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

4820800 is a wasteful number, since it uses less digits than its factorization.

4820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4820800 is about 2195.6320274582. The cubic root of 4820800 is about 168.9298402798.

The spelling of 4820800 in words is "four million, eight hundred twenty thousand, eight hundred".