405749 has 2 divisors, whose sum is σ = 405750. Its totient is φ = 405748.

The previous prime is 405731. The next prime is 405763. The reversal of 405749 is 947504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 165649 = 490^2 + 407^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202874 + 202875.

It is an arithmetic number, because the mean of its divisors is an integer number (202875).

2⁴⁰⁵⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

405749 is a deficient number, since it is larger than the sum of its proper divisors (1).

405749 is an equidigital number, since it uses as much as digits as its factorization.

405749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 405749 is about 636.9843012194. The cubic root of 405749 is about 74.0319438420.

The spelling of 405749 in words is "four hundred five thousand, seven hundred forty-nine".