457645005 has 32 divisors (see below), whose sum is σ = 827395200. Its totient is φ = 239936256.

The previous prime is 457644959. The next prime is 457645009. The reversal of 457645005 is 500546754.

It is a happy number.

457645005 is a `hidden beast` number, since 4 + 5 + 7 + 645 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 457645005 - 2⁹ = 457644493 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457645009) 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 in 31 ways as a sum of consecutive naturals, for example, 20764 + ... + 36693.

It is an arithmetic number, because the mean of its divisors is an integer number (25856100).

Almost surely, 2^457645005 is an apocalyptic number.

457645005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457645005 is a deficient number, since it is larger than the sum of its proper divisors (369750195).

457645005 is a wasteful number, since it uses less digits than its factorization.

457645005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57530 (or 57524 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 457645005 is about 21392.6390377625. The cubic root of 457645005 is about 770.6246715919.

The spelling of 457645005 in words is "four hundred fifty-seven million, six hundred forty-five thousand, five".