1004916384 has 144 divisors (see below), whose sum is σ = 3054149280. Its totient is φ = 312491520.

The previous prime is 1004916383. The next prime is 1004916421. The reversal of 1004916384 is 4836194001.

1004916384 is a `hidden beast` number, since 10 + 0 + 4 + 9 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1004916384³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1004916383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365254 + ... + 367994.

It is an arithmetic number, because the mean of its divisors is an integer number (21209370).

Almost surely, 2^1004916384 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 1004916384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527074640).

1004916384 is an abundant number, since it is smaller than the sum of its proper divisors (2049232896).

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

1004916384 is a wasteful number, since it uses less digits than its factorization.

1004916384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1004916384 is about 31700.4161486880. The cubic root of 1004916384 is about 1001.6361163301.

The spelling of 1004916384 in words is "one billion, four million, nine hundred sixteen thousand, three hundred eighty-four".