456642352 has 40 divisors (see below), whose sum is σ = 963442800. Its totient is φ = 208841472.

The previous prime is 456642337. The next prime is 456642353. The reversal of 456642352 is 253246654.

It is not an unprimeable number, because it can be changed into a prime (456642353) 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 7 ways as a sum of consecutive naturals, for example, 17083 + ... + 34714.

It is an arithmetic number, because the mean of its divisors is an integer number (24086070).

Almost surely, 2^456642352 is an apocalyptic number.

It is an amenable number.

456642352 is an abundant number, since it is smaller than the sum of its proper divisors (506800448).

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

456642352 is a wasteful number, since it uses less digits than its factorization.

456642352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51853 (or 51847 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The square root of 456642352 is about 21369.1916552779. The cubic root of 456642352 is about 770.0614737000.

The spelling of 456642352 in words is "four hundred fifty-six million, six hundred forty-two thousand, three hundred fifty-two".