405344512 has 72 divisors (see below), whose sum is σ = 833743512. Its totient is φ = 196608000.

The previous prime is 405344507. The next prime is 405344519. The reversal of 405344512 is 215443504.

It can be written as a sum of positive squares in 4 ways, for example, as 173817856 + 231526656 = 13184^2 + 15216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405344519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1577088 + ... + 1577344.

It is an arithmetic number, because the mean of its divisors is an integer number (11579771).

Almost surely, 2^405344512 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 405344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416871756).

405344512 is an abundant number, since it is smaller than the sum of its proper divisors (428399000).

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

405344512 is a wasteful number, since it uses less digits than its factorization.

405344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 405344512 is about 20133.1694474566. The cubic root of 405344512 is about 740.0733504111.

The spelling of 405344512 in words is "four hundred five million, three hundred forty-four thousand, five hundred twelve".