455596961 has 16 divisors (see below), whose sum is σ = 474238800. Its totient is φ = 437376000.

The previous prime is 455596937. The next prime is 455596969. The reversal of 455596961 is 169695554.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30625 + 455566336 = 175^2 + 21344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-455596961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (455596969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113725 + ... + 1114133.

It is an arithmetic number, because the mean of its divisors is an integer number (29639925).

Almost surely, 2^455596961 is an apocalyptic number.

455596961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

455596961 is a deficient number, since it is larger than the sum of its proper divisors (18641839).

455596961 is a wasteful number, since it uses less digits than its factorization.

455596961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its digits is 1458000, while the sum is 50.

The square root of 455596961 is about 21344.7174026737. The cubic root of 455596961 is about 769.4733909842.

The spelling of 455596961 in words is "four hundred fifty-five million, five hundred ninety-six thousand, nine hundred sixty-one".