456065664 has 128 divisors (see below), whose sum is σ = 1350561600. Its totient is φ = 135512064.

The previous prime is 456065653. The next prime is 456065677. The reversal of 456065664 is 466560654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122194 + ... + 125870.

Almost surely, 2^456065664 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 456065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675280800).

456065664 is an abundant number, since it is smaller than the sum of its proper divisors (894495936).

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

456065664 is a wasteful number, since it uses less digits than its factorization.

456065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 456065664 is about 21355.6939479849. The cubic root of 456065664 is about 769.7371700930.

The spelling of 456065664 in words is "four hundred fifty-six million, sixty-five thousand, six hundred sixty-four".