405321345 has 48 divisors (see below), whose sum is σ = 825394752. Its totient is φ = 181399680.

The previous prime is 405321337. The next prime is 405321349. The reversal of 405321345 is 543123504.

405321345 is a `hidden beast` number, since 405 + 3 + 213 + 45 = 666.

It is not a de Polignac number, because 405321345 - 2³ = 405321337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405321349) 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, 25059 + ... + 37928.

It is an arithmetic number, because the mean of its divisors is an integer number (17195724).

Almost surely, 2^405321345 is an apocalyptic number.

405321345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405321345 is an abundant number, since it is smaller than the sum of its proper divisors (420073407).

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

405321345 is a wasteful number, since it uses less digits than its factorization.

405321345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63022 (or 63019 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 405321345 is about 20132.5940951483. The cubic root of 405321345 is about 740.0592507951.

Adding to 405321345 its reverse (543123504), we get a palindrome (948444849).

The spelling of 405321345 in words is "four hundred five million, three hundred twenty-one thousand, three hundred forty-five".