4085009460 has 216 divisors, whose sum is σ = 14750832096. Its totient is φ = 911917440.

The previous prime is 4085009449. The next prime is 4085009501. The reversal of 4085009460 is 649005804.

4085009460 is a `hidden beast` number, since 4 + 0 + 8 + 500 + 94 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 373875 + ... + 384645.

Almost surely, 2^4085009460 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 4085009460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375416048).

4085009460 is an abundant number, since it is smaller than the sum of its proper divisors (10665822636).

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

4085009460 is a wasteful number, since it uses less digits than its factorization.

4085009460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10843 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4085009460 is about 63914.0787307460. The cubic root of 4085009460 is about 1598.5676582350.

The spelling of 4085009460 in words is "four billion, eighty-five million, nine thousand, four hundred sixty".