456451 has 2 divisors, whose sum is σ = 456452. Its totient is φ = 456450.

The previous prime is 456439. The next prime is 456457. The reversal of 456451 is 154654.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 456451 - 2¹⁷ = 325379 is a prime.

It is equal to p₃₈₁₉₄ and since 456451 and 38194 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (456457) 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 as a sum of consecutive naturals, namely, 228225 + 228226.

It is an arithmetic number, because the mean of its divisors is an integer number (228226).

2⁴⁵⁶⁴⁵¹ is an apocalyptic number.

456451 is a deficient number, since it is larger than the sum of its proper divisors (1).

456451 is an equidigital number, since it uses as much as digits as its factorization.

456451 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2400, while the sum is 25.

The square root of 456451 is about 675.6115747972. The cubic root of 456451 is about 76.9953896155.

The spelling of 456451 in words is "four hundred fifty-six thousand, four hundred fifty-one".