405984384 has 96 divisors (see below), whose sum is σ = 1258175100. Its totient is φ = 124913664.

The previous prime is 405984373. The next prime is 405984391. The reversal of 405984384 is 483489504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 371409984 + 34574400 = 19272^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1422 + ... + 28530.

Almost surely, 2^405984384 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 405984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629087550).

405984384 is an abundant number, since it is smaller than the sum of its proper divisors (852190716).

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

405984384 is a wasteful number, since it uses less digits than its factorization.

405984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27142 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 405984384 is about 20149.0541713501. The cubic root of 405984384 is about 740.4625693248.

The spelling of 405984384 in words is "four hundred five million, nine hundred eighty-four thousand, three hundred eighty-four".