456656096 has 48 divisors (see below), whose sum is σ = 981898848. Its totient is φ = 207782400.

The previous prime is 456656077. The next prime is 456656111. The reversal of 456656096 is 690656654.

It is a happy number.

It is a super-2 number, since 2×456656096² = 417069580027922432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456656096.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21806 + ... + 37266.

It is an arithmetic number, because the mean of its divisors is an integer number (20456226).

Almost surely, 2^456656096 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 456656096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490949424).

456656096 is an abundant number, since it is smaller than the sum of its proper divisors (525242752).

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

456656096 is a wasteful number, since it uses less digits than its factorization.

456656096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555 (or 15547 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 47.

The square root of 456656096 is about 21369.5132373201. The cubic root of 456656096 is about 770.0691993805.

The spelling of 456656096 in words is "four hundred fifty-six million, six hundred fifty-six thousand, ninety-six".