406113633 has 12 divisors (see below), whose sum is σ = 587036580. Its totient is φ = 270544896.

The previous prime is 406113623. The next prime is 406113677. The reversal of 406113633 is 336311604.

406113633 is a `hidden beast` number, since 40 + 611 + 3 + 6 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 292307409 + 113806224 = 17097^2 + 10668^2 .

It is not a de Polignac number, because 406113633 - 2⁸ = 406113377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406113597 and 406113606.

It is not an unprimeable number, because it can be changed into a prime (406113623) 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 11 ways as a sum of consecutive naturals, for example, 2848 + ... + 28641.

It is an arithmetic number, because the mean of its divisors is an integer number (48919715).

Almost surely, 2^406113633 is an apocalyptic number.

It is an amenable number.

406113633 is a deficient number, since it is larger than the sum of its proper divisors (180922947).

406113633 is a wasteful number, since it uses less digits than its factorization.

406113633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32928 (or 32925 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 406113633 is about 20152.2612378859. The cubic root of 406113633 is about 740.5411387609.

It can be divided in two parts, 40611 and 3633, that added together give a palindrome (44244).

The spelling of 406113633 in words is "four hundred six million, one hundred thirteen thousand, six hundred thirty-three".