405344040 has 64 divisors (see below), whose sum is σ = 1245706560. Its totient is φ = 105454080.

The previous prime is 405344021. The next prime is 405344047. The reversal of 405344040 is 40443504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 405344040.

It is not an unprimeable number, because it can be changed into a prime (405344047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36274 + ... + 46113.

It is an arithmetic number, because the mean of its divisors is an integer number (19464165).

Almost surely, 2^405344040 is an apocalyptic number.

405344040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405344040 is an abundant number, since it is smaller than the sum of its proper divisors (840362520).

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

405344040 is a wasteful number, since it uses less digits than its factorization.

405344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82442 (or 82438 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 405344040 is about 20133.1577255035. The cubic root of 405344040 is about 740.0730631536.

Adding to 405344040 its reverse (40443504), we get a palindrome (445787544).

The spelling of 405344040 in words is "four hundred five million, three hundred forty-four thousand, forty".