4006480933 has 48 divisors (see below), whose sum is σ = 5333065920. Its totient is φ = 2973003264.

The previous prime is 4006480931. The next prime is 4006480937. The reversal of 4006480933 is 3390846004.

4006480933 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4006480933 - 2¹ = 4006480931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4006480892 and 4006480901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006480931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4536910 + ... + 4537792.

It is an arithmetic number, because the mean of its divisors is an integer number (111105540).

Almost surely, 2^4006480933 is an apocalyptic number.

It is an amenable number.

4006480933 is a deficient number, since it is larger than the sum of its proper divisors (1326584987).

4006480933 is a wasteful number, since it uses less digits than its factorization.

4006480933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 4006480933 is about 63296.7687405921. The cubic root of 4006480933 is about 1588.2579093536.

The spelling of 4006480933 in words is "four billion, six million, four hundred eighty thousand, nine hundred thirty-three".