1004800 has 54 divisors (see below), whose sum is σ = 2502878. Its totient is φ = 399360.

The previous prime is 1004797. The next prime is 1004873. The reversal of 1004800 is 84001.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 984064 = 144^2 + 992^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6322 + ... + 6478.

2^1004800 is an apocalyptic number.

1004800 is a gapful number since it is divisible by the number (10) 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 1004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251439).

1004800 is an abundant number, since it is smaller than the sum of its proper divisors (1498078).

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

1004800 is an equidigital number, since it uses as much as digits as its factorization.

1004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1004800 is about 1002.3971268913. The cubic root of 1004800 is about 100.1597446805.

Adding to 1004800 its reverse (84001), we get a palindrome (1088801).

It can be divided in two parts, 100 and 4800, that added together give a square (4900 = 70²).

The spelling of 1004800 in words is "one million, four thousand, eight hundred".