413756406 has 48 divisors (see below), whose sum is σ = 1048379904. Its totient is φ = 115465392.

The previous prime is 413756401. The next prime is 413756443. The reversal of 413756406 is 604657314.

It is a happy number.

413756406 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 5 + 640 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413756401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32766 + ... + 43601.

It is an arithmetic number, because the mean of its divisors is an integer number (21841248).

Almost surely, 2^413756406 is an apocalyptic number.

413756406 is an abundant number, since it is smaller than the sum of its proper divisors (634623498).

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

413756406 is a wasteful number, since it uses less digits than its factorization.

413756406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76425 (or 76422 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 413756406 is about 20341.0030726117. The cubic root of 413756406 is about 745.1577858971.

The spelling of 413756406 in words is "four hundred thirteen million, seven hundred fifty-six thousand, four hundred six".