405375984 has 120 divisors (see below), whose sum is σ = 1236952080. Its totient is φ = 123181056.

The previous prime is 405375977. The next prime is 405376019. The reversal of 405375984 is 489573504.

405375984 is a `hidden beast` number, since 4 + 0 + 53 + 7 + 598 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 154072 + ... + 156680.

It is an arithmetic number, because the mean of its divisors is an integer number (10307934).

Almost surely, 2^405375984 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 405375984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618476040).

405375984 is an abundant number, since it is smaller than the sum of its proper divisors (831576096).

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

405375984 is a wasteful number, since it uses less digits than its factorization.

405375984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 405375984 is about 20133.9510280521. The cubic root of 405375984 is about 740.0925036540.

The spelling of 405375984 in words is "four hundred five million, three hundred seventy-five thousand, nine hundred eighty-four".