405984983976 has 320 divisors, whose sum is σ = 1338996415680. Its totient is φ = 113301918720.

The previous prime is 405984983969. The next prime is 405984983981. The reversal of 405984983976 is 679389489504.

405984983976 is a `hidden beast` number, since 40 + 5 + 9 + 8 + 498 + 3 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42342655 + ... + 42352241.

It is an arithmetic number, because the mean of its divisors is an integer number (4184363799).

Almost surely, 2^405984983976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405984983976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669498207840).

405984983976 is an abundant number, since it is smaller than the sum of its proper divisors (933011431704).

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

405984983976 is a wasteful number, since it uses less digits than its factorization.

405984983976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 405984983976 in words is "four hundred five billion, nine hundred eighty-four million, nine hundred eighty-three thousand, nine hundred seventy-six".