456997941 has 12 divisors (see below), whose sum is σ = 660610860. Its totient is φ = 304433280.

The previous prime is 456997907. The next prime is 456997951. The reversal of 456997941 is 149799654.

It is a happy number.

456997941 is a `hidden beast` number, since 4 + 569 + 9 + 79 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145298916 + 311699025 = 12054^2 + 17655^2 .

It is not a de Polignac number, because 456997941 - 2⁷ = 456997813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456997901) 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 11 ways as a sum of consecutive naturals, for example, 6406 + ... + 30903.

It is an arithmetic number, because the mean of its divisors is an integer number (55050905).

Almost surely, 2^456997941 is an apocalyptic number.

It is an amenable number.

456997941 is a deficient number, since it is larger than the sum of its proper divisors (203612919).

456997941 is a wasteful number, since it uses less digits than its factorization.

456997941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38676 (or 38673 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 456997941 is about 21377.5101683989. The cubic root of 456997941 is about 770.2613050287.

The spelling of 456997941 in words is "four hundred fifty-six million, nine hundred ninety-seven thousand, nine hundred forty-one".