1004364800 has 66 divisors (see below), whose sum is σ = 2489671938. Its totient is φ = 401735680.

The previous prime is 1004364799. The next prime is 1004364827. The reversal of 1004364800 is 84634001.

It can be written as a sum of positive squares in 3 ways, for example, as 2768896 + 1001595904 = 1664^2 + 31648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004364800.

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, 5984 + ... + 45216.

Almost surely, 2^1004364800 is an apocalyptic number.

1004364800 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 1004364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244835969).

1004364800 is an abundant number, since it is smaller than the sum of its proper divisors (1485307138).

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

1004364800 is an equidigital number, since it uses as much as digits as its factorization.

1004364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39263 (or 39240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1004364800 is about 31691.7150056604. The cubic root of 1004364800 is about 1001.4528216205.

Adding to 1004364800 its reverse (84634001), we get a palindrome (1088998801).

The spelling of 1004364800 in words is "one billion, four million, three hundred sixty-four thousand, eight hundred".