456744961 has 8 divisors (see below), whose sum is σ = 468959904. Its totient is φ = 444581280.

The previous prime is 456744947. The next prime is 456744991. The reversal of 456744961 is 169447654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456744961 - 2⁵ = 456744929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456744931) 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 7 ways as a sum of consecutive naturals, for example, 5590 + ... + 30736.

It is an arithmetic number, because the mean of its divisors is an integer number (58619988).

Almost surely, 2^456744961 is an apocalyptic number.

456744961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

456744961 is a deficient number, since it is larger than the sum of its proper divisors (12214943).

456744961 is a wasteful number, since it uses less digits than its factorization.

456744961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631.

The product of its digits is 725760, while the sum is 46.

The square root of 456744961 is about 21371.5923833485. The cubic root of 456744961 is about 770.1191478074.

The spelling of 456744961 in words is "four hundred fifty-six million, seven hundred forty-four thousand, nine hundred sixty-one".