8429000481 has 96 divisors (see below), whose sum is σ = 14536368000. Its totient is φ = 4815296640.

The previous prime is 8429000479. The next prime is 8429000491. The reversal of 8429000481 is 1840009248.

It is not a de Polignac number, because 8429000481 - 2¹ = 8429000479 is a prime.

It is a super-3 number, since 3×8429000481³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8429000441) 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 95 ways as a sum of consecutive naturals, for example, 4072915 + ... + 4074983.

It is an arithmetic number, because the mean of its divisors is an integer number (151420500).

Almost surely, 2^8429000481 is an apocalyptic number.

It is an amenable number.

8429000481 is a deficient number, since it is larger than the sum of its proper divisors (6107367519).

8429000481 is a wasteful number, since it uses less digits than its factorization.

8429000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8429000481 is about 91809.5881757456. The cubic root of 8429000481 is about 2035.1293903606.

The spelling of 8429000481 in words is "eight billion, four hundred twenty-nine million, four hundred eighty-one", and thus it is an aban number.