1004668400 has 60 divisors (see below), whose sum is σ = 2478987912. Its totient is φ = 391000320.

The previous prime is 1004668393. The next prime is 1004668403. The reversal of 1004668400 is 48664001.

1004668400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004668403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19142 + ... + 48741.

Almost surely, 2^1004668400 is an apocalyptic number.

1004668400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004668400 is an abundant number, since it is smaller than the sum of its proper divisors (1474319512).

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

1004668400 is a wasteful number, since it uses less digits than its factorization.

1004668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67938 (or 67927 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1004668400 is about 31696.5045391444. The cubic root of 1004668400 is about 1001.5537180433.

The spelling of 1004668400 in words is "one billion, four million, six hundred sixty-eight thousand, four hundred".