1004736384 has 96 divisors (see below), whose sum is σ = 2906857200. Its totient is φ = 333103104.

The previous prime is 1004736371. The next prime is 1004736389. The reversal of 1004736384 is 4836374001.

1004736384 is a `hidden beast` number, since 10 + 0 + 4 + 7 + 3 + 638 + 4 = 666.

1004736384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004736389) 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, 220077 + ... + 224595.

Almost surely, 2^1004736384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453428600).

1004736384 is an abundant number, since it is smaller than the sum of its proper divisors (1902120816).

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

1004736384 is a wasteful number, since it uses less digits than its factorization.

1004736384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1004736384 is about 31697.5769420945. The cubic root of 1004736384 is about 1001.5763086122.

The spelling of 1004736384 in words is "one billion, four million, seven hundred thirty-six thousand, three hundred eighty-four".