Search a number
-
+
457409473 is a prime number
BaseRepresentation
bin11011010000111…
…000001111000001
31011212200210211121
4123100320033001
51414044100343
6113215512241
714222626213
oct3320701701
91155623747
10457409473
11215217564
12109228681
13739c23c1
1444a6a5b3
152a253aed
hex1b4383c1

457409473 has 2 divisors, whose sum is σ = 457409474. Its totient is φ = 457409472.

The previous prime is 457409471. The next prime is 457409539. The reversal of 457409473 is 374904754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302481664 + 154927809 = 17392^2 + 12447^2 .

It is a cyclic number.

It is not a de Polignac number, because 457409473 - 21 = 457409471 is a prime.

Together with 457409471, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (457409471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228704736 + 228704737.

It is an arithmetic number, because the mean of its divisors is an integer number (228704737).

Almost surely, 2457409473 is an apocalyptic number.

It is an amenable number.

457409473 is a deficient number, since it is larger than the sum of its proper divisors (1).

457409473 is an equidigital number, since it uses as much as digits as its factorization.

457409473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 43.

The square root of 457409473 is about 21387.1333516205. The cubic root of 457409473 is about 770.4924454376.

The spelling of 457409473 in words is "four hundred fifty-seven million, four hundred nine thousand, four hundred seventy-three".