405056006224 has 10 divisors (see below), whose sum is σ = 784796012090. Its totient is φ = 202528003104.

The previous prime is 405056006213. The next prime is 405056006263. The reversal of 405056006224 is 422600650504.

It can be written as a sum of positive squares in only one way, i.e., 391460446224 + 13595560000 = 625668^2 + 116600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 405056006224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12658000179 + ... + 12658000210.

It is an arithmetic number, because the mean of its divisors is an integer number (78479601209).

Almost surely, 2^405056006224 is an apocalyptic number.

It is an amenable number.

405056006224 is a deficient number, since it is larger than the sum of its proper divisors (379740005866).

405056006224 is a wasteful number, since it uses less digits than its factorization.

405056006224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25316000397 (or 25316000391 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 405056006224 its reverse (422600650504), we get a palindrome (827656656728).

The spelling of 405056006224 in words is "four hundred five billion, fifty-six million, six thousand, two hundred twenty-four".