405971982 has 48 divisors (see below), whose sum is σ = 948991680. Its totient is φ = 124687296.

The previous prime is 405971933. The next prime is 405971983. The reversal of 405971982 is 289179504.

405971982 is a `hidden beast` number, since 40 + 597 + 19 + 8 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405971983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164683 + ... + 167129.

It is an arithmetic number, because the mean of its divisors is an integer number (19770660).

Almost surely, 2^405971982 is an apocalyptic number.

405971982 is an abundant number, since it is smaller than the sum of its proper divisors (543019698).

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

405971982 is a wasteful number, since it uses less digits than its factorization.

405971982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 405971982 is about 20148.7464126183. The cubic root of 405971982 is about 740.4550293712.

The spelling of 405971982 in words is "four hundred five million, nine hundred seventy-one thousand, nine hundred eighty-two".