457615009 has 2 divisors, whose sum is σ = 457615010. Its totient is φ = 457615008.

The previous prime is 457614991. The next prime is 457615021. The reversal of 457615009 is 900516754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 445083409 + 12531600 = 21097^2 + 3540^2 .

It is a cyclic number.

It is not a de Polignac number, because 457615009 - 2¹⁵ = 457582241 is a prime.

It is a super-4 number, since 4×457615009⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (457615069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228807504 + 228807505.

It is an arithmetic number, because the mean of its divisors is an integer number (228807505).

Almost surely, 2^457615009 is an apocalyptic number.

It is an amenable number.

457615009 is a deficient number, since it is larger than the sum of its proper divisors (1).

457615009 is an equidigital number, since it uses as much as digits as its factorization.

457615009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 457615009 is about 21391.9379440012. The cubic root of 457615009 is about 770.6078345512.

The spelling of 457615009 in words is "four hundred fifty-seven million, six hundred fifteen thousand, nine".