4002000471 has 36 divisors (see below), whose sum is σ = 6731564112. Its totient is φ = 2284438464.

The previous prime is 4002000461. The next prime is 4002000473. The reversal of 4002000471 is 1740002004.

It is a happy number.

It is not a de Polignac number, because 4002000471 - 2⁹ = 4001999959 is a prime.

It is a super-3 number, since 3×4002000471³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002000473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 464515 + ... + 473051.

It is an arithmetic number, because the mean of its divisors is an integer number (186987892).

Almost surely, 2^4002000471 is an apocalyptic number.

4002000471 is a deficient number, since it is larger than the sum of its proper divisors (2729563641).

4002000471 is a wasteful number, since it uses less digits than its factorization.

4002000471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620 (or 9610 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4002000471 is about 63261.3663383901. The cubic root of 4002000471 is about 1587.6656370127.

Adding to 4002000471 its reverse (1740002004), we get a palindrome (5742002475).

The spelling of 4002000471 in words is "four billion, two million, four hundred seventy-one", and thus it is an aban number.