4826800 has 60 divisors (see below), whose sum is σ = 12662136. Its totient is φ = 1753600.

The previous prime is 4826797. The next prime is 4826813. The reversal of 4826800 is 86284.

It is a super-3 number, since 3×4826800³ (a number of 21 digits) contains 333 as substring.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3852 + ... + 4948.

Almost surely, 2^4826800 is an apocalyptic number.

4826800 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 4826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331068).

4826800 is an abundant number, since it is smaller than the sum of its proper divisors (7835336).

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

4826800 is a wasteful number, since it uses less digits than its factorization.

4826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4826800 is about 2196.9979517514. The cubic root of 4826800 is about 168.9998949616. Note that the first 3 decimals are identical.

The spelling of 4826800 in words is "four million, eight hundred twenty-six thousand, eight hundred".