456216960 has 128 divisors (see below), whose sum is σ = 1517564160. Its totient is φ = 116357120.

The previous prime is 456216953. The next prime is 456216997. The reversal of 456216960 is 69612654.

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

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 15 ways as a sum of consecutive naturals, for example, 38995 + ... + 49325.

It is an arithmetic number, because the mean of its divisors is an integer number (11855970).

Almost surely, 2^456216960 is an apocalyptic number.

456216960 is a gapful number since it is divisible by the number (40) 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 456216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758782080).

456216960 is an abundant number, since it is smaller than the sum of its proper divisors (1061347200).

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

456216960 is a wasteful number, since it uses less digits than its factorization.

456216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 456216960 is about 21359.2359413908. The cubic root of 456216960 is about 769.8222786555.

The spelling of 456216960 in words is "four hundred fifty-six million, two hundred sixteen thousand, nine hundred sixty".