412009605 has 64 divisors (see below), whose sum is σ = 842734080. Its totient is φ = 187080192.

The previous prime is 412009601. The next prime is 412009607. The reversal of 412009605 is 506900214.

It is not a de Polignac number, because 412009605 - 2² = 412009601 is a prime.

It is a super-2 number, since 2×412009605² = 339503829224512050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412009601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146977 + ... + 149753.

It is an arithmetic number, because the mean of its divisors is an integer number (13167720).

Almost surely, 2^412009605 is an apocalyptic number.

412009605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412009605 is an abundant number, since it is smaller than the sum of its proper divisors (430724475).

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

412009605 is a wasteful number, since it uses less digits than its factorization.

412009605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 412009605 is about 20298.0197309984. The cubic root of 412009605 is about 744.1076684710.

Adding to 412009605 its reverse (506900214), we get a palindrome (918909819).

It can be divided in two parts, 41200 and 9605, that added together give a palindrome (50805).

The spelling of 412009605 in words is "four hundred twelve million, nine thousand, six hundred five".