456196912 has 40 divisors (see below), whose sum is σ = 924717600. Its totient is φ = 217738752.

The previous prime is 456196891. The next prime is 456196913. The reversal of 456196912 is 219691654.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (456196913) 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, 35773 + ... + 46819.

It is an arithmetic number, because the mean of its divisors is an integer number (23117940).

Almost surely, 2^456196912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456196912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462358800).

456196912 is an abundant number, since it is smaller than the sum of its proper divisors (468520688).

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

456196912 is a wasteful number, since it uses less digits than its factorization.

456196912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11167 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 456196912 is about 21358.7666310581. The cubic root of 456196912 is about 769.8110021325.

The spelling of 456196912 in words is "four hundred fifty-six million, one hundred ninety-six thousand, nine hundred twelve".