1004890800 has 60 divisors (see below), whose sum is σ = 3219004040. Its totient is φ = 267970560.

The previous prime is 1004890727. The next prime is 1004890811. The reversal of 1004890800 is 80984001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417505 + ... + 419904.

Almost surely, 2^1004890800 is an apocalyptic number.

1004890800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004890800 is an abundant number, since it is smaller than the sum of its proper divisors (2214113240).

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

1004890800 is a wasteful number, since it uses less digits than its factorization.

1004890800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837430 (or 837419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1004890800 is about 31700.0126182940. The cubic root of 1004890800 is about 1001.6276160953.

The spelling of 1004890800 in words is "one billion, four million, eight hundred ninety thousand, eight hundred".