405673083792 has 240 divisors, whose sum is σ = 1210465114560. Its totient is φ = 126388051968.

The previous prime is 405673083791. The next prime is 405673083797. The reversal of 405673083792 is 297380376504.

405673083792 is a `hidden beast` number, since 4 + 0 + 567 + 3 + 0 + 8 + 3 + 79 + 2 = 666.

It is a super-2 number, since 2×405673083792² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405673083791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316190383 + ... + 316191665.

It is an arithmetic number, because the mean of its divisors is an integer number (5043604644).

Almost surely, 2^405673083792 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 405673083792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605232557280).

405673083792 is an abundant number, since it is smaller than the sum of its proper divisors (804792030768).

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

405673083792 is a wasteful number, since it uses less digits than its factorization.

405673083792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 405673083792 in words is "four hundred five billion, six hundred seventy-three million, eighty-three thousand, seven hundred ninety-two".