412267505 has 48 divisors (see below), whose sum is σ = 565884144. Its totient is φ = 286433280.

The previous prime is 412267489. The next prime is 412267507. The reversal of 412267505 is 505762214.

It can be written as a sum of positive squares in 24 ways, for example, as 359443681 + 52823824 = 18959^2 + 7268^2 .

It is not a de Polignac number, because 412267505 - 2⁴ = 412267489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412267507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3648329 + ... + 3648441.

It is an arithmetic number, because the mean of its divisors is an integer number (11789253).

Almost surely, 2^412267505 is an apocalyptic number.

It is an amenable number.

412267505 is a deficient number, since it is larger than the sum of its proper divisors (153616639).

412267505 is a wasteful number, since it uses less digits than its factorization.

412267505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 412267505 is about 20304.3715736292. The cubic root of 412267505 is about 744.2628957099.

The spelling of 412267505 in words is "four hundred twelve million, two hundred sixty-seven thousand, five hundred five".