4002004460 has 48 divisors (see below), whose sum is σ = 8555077440. Its totient is φ = 1572238080.

The previous prime is 4002004429. The next prime is 4002004463. The reversal of 4002004460 is 644002004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4002004463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376742 + ... + 387218.

It is an arithmetic number, because the mean of its divisors is an integer number (178230780).

Almost surely, 2^4002004460 is an apocalyptic number.

It is an amenable number.

4002004460 is an abundant number, since it is smaller than the sum of its proper divisors (4553072980).

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

4002004460 is a wasteful number, since it uses less digits than its factorization.

4002004460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4002004460 is about 63261.3978663134. The cubic root of 4002004460 is about 1587.6661645152. Note that the first 3 decimals are identical.

Adding to 4002004460 its reverse (644002004), we get a palindrome (4646006464).

The spelling of 4002004460 in words is "four billion, two million, four thousand, four hundred sixty".