405320440 has 64 divisors (see below), whose sum is σ = 1048204800. Its totient is φ = 138173568.

The previous prime is 405320401. The next prime is 405320441. The reversal of 405320440 is 44023504.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405320441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46077 + ... + 54163.

It is an arithmetic number, because the mean of its divisors is an integer number (16378200).

Almost surely, 2^405320440 is an apocalyptic number.

405320440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524102400).

405320440 is an abundant number, since it is smaller than the sum of its proper divisors (642884360).

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

405320440 is a wasteful number, since it uses less digits than its factorization.

405320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 405320440 is about 20132.5716191449. The cubic root of 405320440 is about 740.0586999941.

Adding to 405320440 its reverse (44023504), we get a palindrome (449343944).

The spelling of 405320440 in words is "four hundred five million, three hundred twenty thousand, four hundred forty".