1004117000 has 32 divisors (see below), whose sum is σ = 2349636120. Its totient is φ = 401646400.

The previous prime is 1004116999. The next prime is 1004117029. The reversal of 1004117000 is 7114001.

It is a happy number.

1004117000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 634939204 + 369177796 = 25198^2 + 19214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501059 + ... + 503058.

Almost surely, 2^1004117000 is an apocalyptic number.

1004117000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004117000 is an abundant number, since it is smaller than the sum of its proper divisors (1345519120).

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

1004117000 is a wasteful number, since it uses less digits than its factorization.

1004117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004138 (or 1004124 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 1004117000 is about 31687.8052253544. The cubic root of 1004117000 is about 1001.3704543303.

Subtracting from 1004117000 its reverse (7114001), we obtain a cube (997002999 = 999³).

The spelling of 1004117000 in words is "one billion, four million, one hundred seventeen thousand".