451681457 has 2 divisors, whose sum is σ = 451681458. Its totient is φ = 451681456.

The previous prime is 451681427. The next prime is 451681487. The reversal of 451681457 is 754186154.

It is a balanced prime because it is at equal distance from previous prime (451681427) and next prime (451681487).

It can be written as a sum of positive squares in only one way, i.e., 276357376 + 175324081 = 16624^2 + 13241^2 .

It is a cyclic number.

It is not a de Polignac number, because 451681457 - 2⁸ = 451681201 is a prime.

It is a super-2 number, since 2×451681457² = 408032277195285698, which contains 22 as substring.

It is a Chen prime.

It is equal to p_23937467 and since 451681457 and 23937467 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 (451681427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 225840728 + 225840729.

It is an arithmetic number, because the mean of its divisors is an integer number (225840729).

Almost surely, 2^451681457 is an apocalyptic number.

It is an amenable number.

451681457 is a deficient number, since it is larger than the sum of its proper divisors (1).

451681457 is an equidigital number, since it uses as much as digits as its factorization.

451681457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 134400, while the sum is 41.

The square root of 451681457 is about 21252.7988039223. The cubic root of 451681457 is about 767.2627026194.

The spelling of 451681457 in words is "four hundred fifty-one million, six hundred eighty-one thousand, four hundred fifty-seven".