405065344 has 96 divisors (see below), whose sum is σ = 865995300. Its totient is φ = 188559360.

The previous prime is 405065333. The next prime is 405065377. The reversal of 405065344 is 443560504.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 1537600 = 20088^2 + 1240^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 4551252 + ... + 4551340.

Almost surely, 2^405065344 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 405065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432997650).

405065344 is an abundant number, since it is smaller than the sum of its proper divisors (460929956).

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

405065344 is an equidigital number, since it uses as much as digits as its factorization.

405065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 405065344 is about 20126.2352167513. The cubic root of 405065344 is about 739.9034108166.

The spelling of 405065344 in words is "four hundred five million, sixty-five thousand, three hundred forty-four".