457967509 has 2 divisors, whose sum is σ = 457967510. Its totient is φ = 457967508.

The previous prime is 457967459. The next prime is 457967519. The reversal of 457967509 is 905769754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233417284 + 224550225 = 15278^2 + 14985^2 .

It is a cyclic number.

It is not a de Polignac number, because 457967509 - 2¹³ = 457959317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457967519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228983754 + 228983755.

It is an arithmetic number, because the mean of its divisors is an integer number (228983755).

Almost surely, 2^457967509 is an apocalyptic number.

It is an amenable number.

457967509 is a deficient number, since it is larger than the sum of its proper divisors (1).

457967509 is an equidigital number, since it uses as much as digits as its factorization.

457967509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2381400, while the sum is 52.

The square root of 457967509 is about 21400.1754432061. The cubic root of 457967509 is about 770.8056497004.

The spelling of 457967509 in words is "four hundred fifty-seven million, nine hundred sixty-seven thousand, five hundred nine".