405648324 has 60 divisors (see below), whose sum is σ = 1066721964. Its totient is φ = 134415936.

The previous prime is 405648323. The next prime is 405648337. The reversal of 405648324 is 423846504.

405648324 is a `hidden beast` number, since 4 + 0 + 5 + 648 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324648324 + 81000000 = 18018^2 + 9000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (405648323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52434 + ... + 59670.

Almost surely, 2^405648324 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 405648324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533360982).

405648324 is an abundant number, since it is smaller than the sum of its proper divisors (661073640).

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

405648324 is a wasteful number, since it uses less digits than its factorization.

405648324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 405648324 is about 20140.7130956180. The cubic root of 405648324 is about 740.2582030545.

The spelling of 405648324 in words is "four hundred five million, six hundred forty-eight thousand, three hundred twenty-four".