456431601 has 12 divisors (see below), whose sum is σ = 620286128. Its totient is φ = 298540944.

The previous prime is 456431581. The next prime is 456431603. The reversal of 456431601 is 106134654.

It is not a de Polignac number, because 456431601 - 2⁷ = 456431473 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456431603) 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, 18655 + ... + 35508.

Almost surely, 2^456431601 is an apocalyptic number.

It is an amenable number.

456431601 is a deficient number, since it is larger than the sum of its proper divisors (163854527).

456431601 is an equidigital number, since it uses as much as digits as its factorization.

456431601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54272 (or 54219 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 456431601 is about 21364.2598982506. The cubic root of 456431601 is about 769.9429884140.

The spelling of 456431601 in words is "four hundred fifty-six million, four hundred thirty-one thousand, six hundred one".