407741 has 2 divisors, whose sum is σ = 407742. Its totient is φ = 407740.

The previous prime is 407723. The next prime is 407747. The reversal of 407741 is 147704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395641 + 12100 = 629^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 407741 - 2¹⁰ = 406717 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407741.

It is not a weakly prime, because it can be changed into another prime (407747) 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, 203870 + 203871.

It is an arithmetic number, because the mean of its divisors is an integer number (203871).

2⁴⁰⁷⁷⁴¹ is an apocalyptic number.

It is an amenable number.

407741 is a deficient number, since it is larger than the sum of its proper divisors (1).

407741 is an equidigital number, since it uses as much as digits as its factorization.

407741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 407741 is about 638.5460046073. The cubic root of 407741 is about 74.1528978915.

The spelling of 407741 in words is "four hundred seven thousand, seven hundred forty-one", and thus it is an iban number.