437400961 has 2 divisors, whose sum is σ = 437400962. Its totient is φ = 437400960.

The previous prime is 437400877. The next prime is 437401021. The reversal of 437400961 is 169004734.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412090000 + 25310961 = 20300^2 + 5031^2 .

It is a cyclic number.

It is not a de Polignac number, because 437400961 - 2⁹ = 437400449 is a prime.

It is not a weakly prime, because it can be changed into another prime (437400461) 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, 218700480 + 218700481.

It is an arithmetic number, because the mean of its divisors is an integer number (218700481).

Almost surely, 2^437400961 is an apocalyptic number.

It is an amenable number.

437400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

437400961 is an equidigital number, since it uses as much as digits as its factorization.

437400961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 437400961 is about 20914.1330444272. The cubic root of 437400961 is about 759.0899546963.

The spelling of 437400961 in words is "four hundred thirty-seven million, four hundred thousand, nine hundred sixty-one".