1004056704 has 192 divisors, whose sum is σ = 3341520000. Its totient is φ = 283447296.

The previous prime is 1004056699. The next prime is 1004056709. The reversal of 1004056704 is 4076504001.

It is an interprime number because it is at equal distance from previous prime (1004056699) and next prime (1004056709).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1004056709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716997 + ... + 718395.

It is an arithmetic number, because the mean of its divisors is an integer number (17403750).

Almost surely, 2^1004056704 is an apocalyptic number.

1004056704 is a gapful number since it is divisible by the number (14) 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 1004056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760000).

1004056704 is an abundant number, since it is smaller than the sum of its proper divisors (2337463296).

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

1004056704 is a wasteful number, since it uses less digits than its factorization.

1004056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1004056704 is about 31686.8538040620. The cubic root of 1004056704 is about 1001.3504102380.

The spelling of 1004056704 in words is "one billion, four million, fifty-six thousand, seven hundred four".