456745088 has 24 divisors (see below), whose sum is σ = 910403805. Its totient is φ = 228251648.

The previous prime is 456745087. The next prime is 456745117. The reversal of 456745088 is 880547654.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 456591424 + 153664 = 21368^2 + 392^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15112.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456745087) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 240848 + ... + 242736.

Almost surely, 2^456745088 is an apocalyptic number.

It is an amenable number.

456745088 is a deficient number, since it is larger than the sum of its proper divisors (453658717).

456745088 is an frugal number, since it uses more digits than its factorization.

456745088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The square root of 456745088 is about 21371.5953545822. The cubic root of 456745088 is about 770.1192191858.

The spelling of 456745088 in words is "four hundred fifty-six million, seven hundred forty-five thousand, eighty-eight".