406074961 has 2 divisors, whose sum is σ = 406074962. Its totient is φ = 406074960.

The previous prime is 406074953. The next prime is 406075001. The reversal of 406074961 is 169470604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 364084561 + 41990400 = 19081^2 + 6480^2 .

It is a cyclic number.

It is not a de Polignac number, because 406074961 - 2³ = 406074953 is a prime.

It is equal to p_21642958 and since 406074961 and 21642958 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 406074961.

It is not a weakly prime, because it can be changed into another prime (406074901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203037480 + 203037481.

It is an arithmetic number, because the mean of its divisors is an integer number (203037481).

Almost surely, 2^406074961 is an apocalyptic number.

It is an amenable number.

406074961 is a deficient number, since it is larger than the sum of its proper divisors (1).

406074961 is an equidigital number, since it uses as much as digits as its factorization.

406074961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 406074961 is about 20151.3017197401. The cubic root of 406074961 is about 740.5176321085.

The spelling of 406074961 in words is "four hundred six million, seventy-four thousand, nine hundred sixty-one".