456766016 has 112 divisors (see below), whose sum is σ = 1094451456. Its totient is φ = 184909824.

The previous prime is 456766003. The next prime is 456766019. The reversal of 456766016 is 610667654.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (456766019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999260 + ... + 999716.

It is an arithmetic number, because the mean of its divisors is an integer number (9771888).

Almost surely, 2^456766016 is an apocalyptic number.

456766016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547225728).

456766016 is an abundant number, since it is smaller than the sum of its proper divisors (637685440).

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

456766016 is a wasteful number, since it uses less digits than its factorization.

456766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 456766016 is about 21372.0849708212. The cubic root of 456766016 is about 770.1309812600.

The spelling of 456766016 in words is "four hundred fifty-six million, seven hundred sixty-six thousand, sixteen".