456500431 has 2 divisors, whose sum is σ = 456500432. Its totient is φ = 456500430.

The previous prime is 456500419. The next prime is 456500449. The reversal of 456500431 is 134005654.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456500431 is a prime.

It is a super-2 number, since 2×456500431² = 416785287006371522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456500431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456500131) 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 as a sum of consecutive naturals, namely, 228250215 + 228250216.

It is an arithmetic number, because the mean of its divisors is an integer number (228250216).

Almost surely, 2^456500431 is an apocalyptic number.

456500431 is a deficient number, since it is larger than the sum of its proper divisors (1).

456500431 is an equidigital number, since it uses as much as digits as its factorization.

456500431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 456500431 is about 21365.8707054030. The cubic root of 456500431 is about 769.9816890007.

The spelling of 456500431 in words is "four hundred fifty-six million, five hundred thousand, four hundred thirty-one".