412253505 has 24 divisors (see below), whose sum is σ = 715396968. Its totient is φ = 219614976.

The previous prime is 412253467. The next prime is 412253509. The reversal of 412253505 is 505352214.

It is a happy number.

412253505 is a `hidden beast` number, since 4 + 122 + 535 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147768336 + 264485169 = 12156^2 + 16263^2 .

It is not a de Polignac number, because 412253505 - 2⁶ = 412253441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412253509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38079 + ... + 47691.

It is an arithmetic number, because the mean of its divisors is an integer number (29808207).

Almost surely, 2^412253505 is an apocalyptic number.

412253505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412253505 is a deficient number, since it is larger than the sum of its proper divisors (303143463).

412253505 is a wasteful number, since it uses less digits than its factorization.

412253505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10577 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 412253505 is about 20304.0268173582. The cubic root of 412253505 is about 744.2544709223.

The spelling of 412253505 in words is "four hundred twelve million, two hundred fifty-three thousand, five hundred five".