4084529904 has 180 divisors, whose sum is σ = 14146828176. Its totient is φ = 1077193728.

The previous prime is 4084529903. The next prime is 4084529909. The reversal of 4084529904 is 4099254804.

4084529904 is a `hidden beast` number, since 40 + 84 + 529 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4084529904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084529903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158364 + ... + 182340.

Almost surely, 2^4084529904 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 4084529904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073414088).

4084529904 is an abundant number, since it is smaller than the sum of its proper divisors (10062298272).

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

4084529904 is a wasteful number, since it uses less digits than its factorization.

4084529904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24024 (or 24002 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4084529904 is about 63910.3270528324. The cubic root of 4084529904 is about 1598.5051016510.

The spelling of 4084529904 in words is "four billion, eighty-four million, five hundred twenty-nine thousand, nine hundred four".