405314404452 has 18 divisors (see below), whose sum is σ = 1024544744678. Its totient is φ = 135104801472.

The previous prime is 405314404403. The next prime is 405314404457. The reversal of 405314404452 is 254404413504.

405314404452 is a `hidden beast` number, since 40 + 531 + 4 + 40 + 4 + 45 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 398686165056 + 6628239396 = 631416^2 + 81414^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11258733457 = 405314404452 / (4 + 0 + 5 + 3 + 1 + 4 + 4 + 0 + 4 + 4 + 5 + 2).

It is not an unprimeable number, because it can be changed into a prime (405314404457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5629366693 + ... + 5629366764.

Almost surely, 2^405314404452 is an apocalyptic number.

It is an amenable number.

405314404452 is an abundant number, since it is smaller than the sum of its proper divisors (619230340226).

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

405314404452 is a wasteful number, since it uses less digits than its factorization.

405314404452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258733467 (or 11258733462 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 405314404452 its reverse (254404413504), we get a palindrome (659718817956).

The spelling of 405314404452 in words is "four hundred five billion, three hundred fourteen million, four hundred four thousand, four hundred fifty-two".