405108206946 has 96 divisors (see below), whose sum is σ = 949967785728. Its totient is φ = 124429219200.

The previous prime is 405108206917. The next prime is 405108206947. The reversal of 405108206946 is 649602801504.

405108206946 is a `hidden beast` number, since 40 + 510 + 8 + 2 + 0 + 6 + 94 + 6 = 666.

It is a super-2 number, since 2×405108206946² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (405108206947) 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 47 ways as a sum of consecutive naturals, for example, 1416195 + ... + 1678041.

It is an arithmetic number, because the mean of its divisors is an integer number (9895497768).

Almost surely, 2^405108206946 is an apocalyptic number.

405108206946 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 405108206946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474983892864).

405108206946 is an abundant number, since it is smaller than the sum of its proper divisors (544859578782).

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

405108206946 is a wasteful number, since it uses less digits than its factorization.

405108206946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262016 (or 262013 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 405108206946 in words is "four hundred five billion, one hundred eight million, two hundred six thousand, nine hundred forty-six".