456073310224 has 135 divisors (see below), whose sum is σ = 1043439727581. Its totient is φ = 192550659840.

The previous prime is 456073310221. The next prime is 456073310233. The reversal of 456073310224 is 422013370654.

The square root of 456073310224 is 675332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87575748624 + 368497561600 = 295932^2 + 607040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456073310221) 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 26 ways as a sum of consecutive naturals, for example, 1682927209 + ... + 1682927479.

Almost surely, 2^456073310224 is an apocalyptic number.

456073310224 is the 675332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456073310224

456073310224 is an abundant number, since it is smaller than the sum of its proper divisors (587366417357).

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

456073310224 is an frugal number, since it uses more digits than its factorization.

456073310224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

Adding to 456073310224 its reverse (422013370654), we get a palindrome (878086680878).

The spelling of 456073310224 in words is "four hundred fifty-six billion, seventy-three million, three hundred ten thousand, two hundred twenty-four".