456144416 has 144 divisors (see below), whose sum is σ = 1149083712. Its totient is φ = 173560320.

The previous prime is 456144407. The next prime is 456144427. The reversal of 456144416 is 614441654.

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 23 ways as a sum of consecutive naturals, for example, 2798351 + ... + 2798513.

It is an arithmetic number, because the mean of its divisors is an integer number (7979748).

Almost surely, 2^456144416 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 456144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574541856).

456144416 is an abundant number, since it is smaller than the sum of its proper divisors (692939296).

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

456144416 is a wasteful number, since it uses less digits than its factorization.

456144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 456144416 is about 21357.5376857914. The cubic root of 456144416 is about 769.7814728163.

The spelling of 456144416 in words is "four hundred fifty-six million, one hundred forty-four thousand, four hundred sixteen".