Search a number
-
+
407945309 is a prime number
BaseRepresentation
bin11000010100001…
…100000001011101
31001102121202202112
4120110030001131
51313413222214
6104251403405
713052322632
oct3024140135
91042552675
10407945309
1119a302392
12b4753565
1366693b75
143c272189
1525c32a3e
hex1850c05d

407945309 has 2 divisors, whose sum is σ = 407945310. Its totient is φ = 407945308.

The previous prime is 407945299. The next prime is 407945323. The reversal of 407945309 is 903549704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 401200900 + 6744409 = 20030^2 + 2597^2 .

It is a cyclic number.

It is not a de Polignac number, because 407945309 - 224 = 391168093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407945359) 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, 203972654 + 203972655.

It is an arithmetic number, because the mean of its divisors is an integer number (203972655).

Almost surely, 2407945309 is an apocalyptic number.

It is an amenable number.

407945309 is a deficient number, since it is larger than the sum of its proper divisors (1).

407945309 is an equidigital number, since it uses as much as digits as its factorization.

407945309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 407945309 is about 20197.6560273711. The cubic root of 407945309 is about 741.6528122200.

The spelling of 407945309 in words is "four hundred seven million, nine hundred forty-five thousand, three hundred nine".