405418224 has 40 divisors (see below), whose sum is σ = 1048682880. Its totient is φ = 134964928.

The previous prime is 405418207. The next prime is 405418259. The reversal of 405418224 is 422814504.

It is a Cunningham number, because it is equal to 20135²-1.

It is a junction number, because it is equal to n+sod(n) for n = 405418191 and 405418200.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35239 + ... + 45305.

It is an arithmetic number, because the mean of its divisors is an integer number (26217072).

Almost surely, 2^405418224 is an apocalyptic number.

It is an amenable number.

405418224 is an abundant number, since it is smaller than the sum of its proper divisors (643264656).

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

405418224 is a wasteful number, since it uses less digits than its factorization.

405418224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10911 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 405418224 is about 20134.9999751676. Note that the first 4 decimals coincide. The cubic root of 405418224 is about 740.1182085328.

The spelling of 405418224 in words is "four hundred five million, four hundred eighteen thousand, two hundred twenty-four".