456442641 has 16 divisors (see below), whose sum is σ = 683812800. Its totient is φ = 300874464.

The previous prime is 456442621. The next prime is 456442663. The reversal of 456442641 is 146244654.

456442641 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 4 + 2 + 641 = 666.

It is not a de Polignac number, because 456442641 - 2²² = 452248337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456442596 and 456442605.

It is not an unprimeable number, because it can be changed into a prime (456442601) 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 15 ways as a sum of consecutive naturals, for example, 92571 + ... + 97376.

It is an arithmetic number, because the mean of its divisors is an integer number (42738300).

Almost surely, 2^456442641 is an apocalyptic number.

It is an amenable number.

456442641 is a deficient number, since it is larger than the sum of its proper divisors (227370159).

456442641 is a wasteful number, since it uses less digits than its factorization.

456442641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190045 (or 190039 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 456442641 is about 21364.5182721259. The cubic root of 456442641 is about 769.9491960634.

The spelling of 456442641 in words is "four hundred fifty-six million, four hundred forty-two thousand, six hundred forty-one".