405321225 has 48 divisors (see below), whose sum is σ = 726149952. Its totient is φ = 198696960.

The previous prime is 405321223. The next prime is 405321227. The reversal of 405321225 is 522123504.

It is an interprime number because it is at equal distance from previous prime (405321223) and next prime (405321227).

It is not a de Polignac number, because 405321225 - 2¹ = 405321223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405321195 and 405321204.

It is not an unprimeable number, because it can be changed into a prime (405321221) 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 47 ways as a sum of consecutive naturals, for example, 51129 + ... + 58521.

It is an arithmetic number, because the mean of its divisors is an integer number (15128124).

Almost surely, 2^405321225 is an apocalyptic number.

It is an amenable number.

405321225 is a deficient number, since it is larger than the sum of its proper divisors (320828727).

405321225 is a wasteful number, since it uses less digits than its factorization.

405321225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 405321225 is about 20132.5911149062. The cubic root of 405321225 is about 740.0591777607.

Adding to 405321225 its reverse (522123504), we get a palindrome (927444729).

The spelling of 405321225 in words is "four hundred five million, three hundred twenty-one thousand, two hundred twenty-five".