4084992000 has 480 divisors, whose sum is σ = 15304849560. Its totient is φ = 1083801600.

The previous prime is 4084991987. The next prime is 4084992011. The reversal of 4084992000 is 2994804.

It is a happy number.

4084992000 is a `hidden beast` number, since 408 + 49 + 9 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2482430976 + 1602561024 = 49824^2 + 40032^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735902 + ... + 20736098.

Almost surely, 2^4084992000 is an apocalyptic number.

4084992000 is a gapful number since it is divisible by the number (40) 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 4084992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652424780).

4084992000 is an abundant number, since it is smaller than the sum of its proper divisors (11219857560).

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

4084992000 is an equidigital number, since it uses as much as digits as its factorization.

4084992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 207 counting only the distinct ones).

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

The square root of 4084992000 is about 63913.9421409758. The cubic root of 4084992000 is about 1598.5653807183.

The spelling of 4084992000 in words is "four billion, eighty-four million, nine hundred ninety-two thousand".