Search a number
-
+
457981409 is a prime number
BaseRepresentation
bin11011010011000…
…011110111100001
31011220202212101102
4123103003313201
51414220401114
6113240044145
714230530524
oct3323036741
91156685342
10457981409
11215578236
12109463655
1373b62822
1444b78bbb
152a3182de
hex1b4c3de1

457981409 has 2 divisors, whose sum is σ = 457981410. Its totient is φ = 457981408.

The previous prime is 457981361. The next prime is 457981421. The reversal of 457981409 is 904189754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308775184 + 149206225 = 17572^2 + 12215^2 .

It is a cyclic number.

It is not a de Polignac number, because 457981409 - 212 = 457977313 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (457981499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228990704 + 228990705.

It is an arithmetic number, because the mean of its divisors is an integer number (228990705).

Almost surely, 2457981409 is an apocalyptic number.

It is an amenable number.

457981409 is a deficient number, since it is larger than the sum of its proper divisors (1).

457981409 is an equidigital number, since it uses as much as digits as its factorization.

457981409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 457981409 is about 21400.5002044345. The cubic root of 457981409 is about 770.8134479902.

The spelling of 457981409 in words is "four hundred fifty-seven million, nine hundred eighty-one thousand, four hundred nine".