1004012800 has 216 divisors, whose sum is σ = 2888384576. Its totient is φ = 338411520.

The previous prime is 1004012783. The next prime is 1004012819. The reversal of 1004012800 is 82104001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3270247 + ... + 3270553.

Almost surely, 2^1004012800 is an apocalyptic number.

1004012800 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 1004012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444192288).

1004012800 is an abundant number, since it is smaller than the sum of its proper divisors (1884371776).

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

1004012800 is an equidigital number, since it uses as much as digits as its factorization.

1004012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1004012800 is about 31686.1610170749. The cubic root of 1004012800 is about 1001.3358148043.

Adding to 1004012800 its reverse (82104001), we get a palindrome (1086116801).

The spelling of 1004012800 in words is "one billion, four million, twelve thousand, eight hundred".