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409993 is a prime number
BaseRepresentation
bin1100100000110001001
3202211101221
41210012021
5101104433
612442041
73325213
oct1440611
9684357
10409993
11260041
12179321
131147cc
14a95b3
158172d
hex64189

409993 has 2 divisors, whose sum is σ = 409994. Its totient is φ = 409992.

The previous prime is 409987. The next prime is 409999. The reversal of 409993 is 399904.

It is a balanced prime because it is at equal distance from previous prime (409987) and next prime (409999).

It can be written as a sum of positive squares in only one way, i.e., 219024 + 190969 = 468^2 + 437^2 .

It is a cyclic number.

It is not a de Polignac number, because 409993 - 25 = 409961 is a prime.

409993 is a lucky number.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (409999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204996 + 204997.

It is an arithmetic number, because the mean of its divisors is an integer number (204997).

2409993 is an apocalyptic number.

It is an amenable number.

409993 is a deficient number, since it is larger than the sum of its proper divisors (1).

409993 is an equidigital number, since it uses as much as digits as its factorization.

409993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 409993 is about 640.3069576383. The cubic root of 409993 is about 74.2891656258.

The spelling of 409993 in words is "four hundred nine thousand, nine hundred ninety-three".