457538009 has 2 divisors, whose sum is σ = 457538010. Its totient is φ = 457538008.

The previous prime is 457537981. The next prime is 457538027. The reversal of 457538009 is 900835754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 452497984 + 5040025 = 21272^2 + 2245^2 .

It is a cyclic number.

It is not a de Polignac number, because 457538009 - 2¹² = 457533913 is a prime.

It is not a weakly prime, because it can be changed into another prime (457538209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228769004 + 228769005.

It is an arithmetic number, because the mean of its divisors is an integer number (228769005).

Almost surely, 2^457538009 is an apocalyptic number.

It is an amenable number.

457538009 is a deficient number, since it is larger than the sum of its proper divisors (1).

457538009 is an equidigital number, since it uses as much as digits as its factorization.

457538009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 457538009 is about 21390.1381248462. The cubic root of 457538009 is about 770.5646103486.

The spelling of 457538009 in words is "four hundred fifty-seven million, five hundred thirty-eight thousand, nine".