405515802006 has 120 divisors (see below), whose sum is σ = 1057709850120. Its totient is φ = 115784702208.

The previous prime is 405515802001. The next prime is 405515802007. The reversal of 405515802006 is 600208515504.

405515802006 is a `hidden beast` number, since 4 + 0 + 5 + 51 + 580 + 20 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405515802001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12517926 + ... + 12550278.

It is an arithmetic number, because the mean of its divisors is an integer number (8814248751).

Almost surely, 2^405515802006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405515802006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528854925060).

405515802006 is an abundant number, since it is smaller than the sum of its proper divisors (652194048114).

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

405515802006 is a wasteful number, since it uses less digits than its factorization.

405515802006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33960 (or 33944 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 405515802006 in words is "four hundred five billion, five hundred fifteen million, eight hundred two thousand, six".