456861216 has 96 divisors (see below), whose sum is σ = 1387266048. Its totient is φ = 128943360.

The previous prime is 456861211. The next prime is 456861227. The reversal of 456861216 is 612168654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (456861211) 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, 51681 + ... + 59871.

It is an arithmetic number, because the mean of its divisors is an integer number (14450688).

Almost surely, 2^456861216 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 456861216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693633024).

456861216 is an abundant number, since it is smaller than the sum of its proper divisors (930404832).

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

456861216 is a wasteful number, since it uses less digits than its factorization.

456861216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8286 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 456861216 is about 21374.3120591050. The cubic root of 456861216 is about 770.1844815744.

The spelling of 456861216 in words is "four hundred fifty-six million, eight hundred sixty-one thousand, two hundred sixteen".