406462681 has 2 divisors, whose sum is σ = 406462682. Its totient is φ = 406462680.

The previous prime is 406462621. The next prime is 406462691. The reversal of 406462681 is 186264604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244766025 + 161696656 = 15645^2 + 12716^2 .

It is a cyclic number.

It is not a de Polignac number, because 406462681 - 2⁹ = 406462169 is a prime.

It is a super-2 number, since 2×406462681² = 330423822091415522, which contains 22 as substring.

It is equal to p_21662497 and since 406462681 and 21662497 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406462681.

It is not a weakly prime, because it can be changed into another prime (406462621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203231340 + 203231341.

It is an arithmetic number, because the mean of its divisors is an integer number (203231341).

Almost surely, 2^406462681 is an apocalyptic number.

It is an amenable number.

406462681 is a deficient number, since it is larger than the sum of its proper divisors (1).

406462681 is an equidigital number, since it uses as much as digits as its factorization.

406462681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 406462681 is about 20160.9196466828. The cubic root of 406462681 is about 740.7532389904.

The spelling of 406462681 in words is "four hundred six million, four hundred sixty-two thousand, six hundred eighty-one".