412506405 has 16 divisors (see below), whose sum is σ = 733344960. Its totient is φ = 220003344.

The previous prime is 412506401. The next prime is 412506407. The reversal of 412506405 is 504605214.

412506405 is a `hidden beast` number, since 4 + 1 + 250 + 6 + 405 = 666.

It is not a de Polignac number, because 412506405 - 2² = 412506401 is a prime.

It is a super-3 number, since 3×412506405³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412506401) 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 15 ways as a sum of consecutive naturals, for example, 1527667 + ... + 1527936.

It is an arithmetic number, because the mean of its divisors is an integer number (45834060).

Almost surely, 2^412506405 is an apocalyptic number.

412506405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412506405 is a deficient number, since it is larger than the sum of its proper divisors (320838555).

412506405 is a wasteful number, since it uses less digits than its factorization.

412506405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055617 (or 3055611 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 412506405 is about 20310.2536911778. The cubic root of 412506405 is about 744.4066293053.

The spelling of 412506405 in words is "four hundred twelve million, five hundred six thousand, four hundred five".