405664225 has 24 divisors (see below), whose sum is σ = 530858880. Its totient is φ = 306894720.

The previous prime is 405664219. The next prime is 405664229. The reversal of 405664225 is 522466504.

It is a de Polignac number, because none of the positive numbers 2^k-405664225 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405664229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47212 + ... + 55138.

It is an arithmetic number, because the mean of its divisors is an integer number (22119120).

Almost surely, 2^405664225 is an apocalyptic number.

It is an amenable number.

405664225 is a deficient number, since it is larger than the sum of its proper divisors (125194655).

405664225 is a wasteful number, since it uses less digits than its factorization.

405664225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8044 counting only the distinct ones).

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

The square root of 405664225 is about 20141.1078394412. The cubic root of 405664225 is about 740.2678753833.

The spelling of 405664225 in words is "four hundred five million, six hundred sixty-four thousand, two hundred twenty-five".