405484095906 has 48 divisors (see below), whose sum is σ = 931080492000. Its totient is φ = 130801304520.

The previous prime is 405484095901. The next prime is 405484095911. The reversal of 405484095906 is 609590484504.

405484095906 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 8 + 40 + 9 + 590 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (405484095901) and next prime (405484095911).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (405484095901) 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 23 ways as a sum of consecutive naturals, for example, 3854956 + ... + 3958743.

It is an arithmetic number, because the mean of its divisors is an integer number (19397510250).

Almost surely, 2^405484095906 is an apocalyptic number.

405484095906 is an abundant number, since it is smaller than the sum of its proper divisors (525596396094).

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

405484095906 is a wasteful number, since it uses less digits than its factorization.

405484095906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813772 (or 7813735 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 405484095906 in words is "four hundred five billion, four hundred eighty-four million, ninety-five thousand, nine hundred six".