456166436 has 24 divisors (see below), whose sum is σ = 872381664. Its totient is φ = 206986880.

The previous prime is 456166427. The next prime is 456166439. The reversal of 456166436 is 634661654.

It is a junction number, because it is equal to n+sod(n) for n = 456166393 and 456166402.

It is not an unprimeable number, because it can be changed into a prime (456166439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17351 + ... + 34833.

It is an arithmetic number, because the mean of its divisors is an integer number (36349236).

Almost surely, 2^456166436 is an apocalyptic number.

It is an amenable number.

456166436 is a deficient number, since it is larger than the sum of its proper divisors (416215228).

456166436 is a wasteful number, since it uses less digits than its factorization.

456166436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091 (or 18089 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 456166436 is about 21358.0531884346. The cubic root of 456166436 is about 769.7938594748.

The spelling of 456166436 in words is "four hundred fifty-six million, one hundred sixty-six thousand, four hundred thirty-six".