4006482480 has 1280 divisors, whose sum is σ = 19798732800. Its totient is φ = 716636160.

The previous prime is 4006482413. The next prime is 4006482499. The reversal of 4006482480 is 842846004.

4006482480 is a `hidden beast` number, since 4 + 0 + 0 + 648 + 2 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36756666 + ... + 36756774.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^4006482480 is an apocalyptic number.

4006482480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006482480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899366400).

4006482480 is an abundant number, since it is smaller than the sum of its proper divisors (15792250320).

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

4006482480 is a wasteful number, since it uses less digits than its factorization.

4006482480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4006482480 is about 63296.7809608040. The cubic root of 4006482480 is about 1588.2581137752.

The spelling of 4006482480 in words is "four billion, six million, four hundred eighty-two thousand, four hundred eighty".