457580041 has 8 divisors (see below), whose sum is σ = 485346600. Its totient is φ = 429907968.

The previous prime is 457579979. The next prime is 457580047. The reversal of 457580041 is 140085754.

It can be written as a sum of positive squares in 4 ways, for example, as 308740041 + 148840000 = 17571^2 + 12200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 457580041 - 2¹¹ = 457577993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457579979 and 457580006.

It is not an unprimeable number, because it can be changed into a prime (457580047) 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 in 7 ways as a sum of consecutive naturals, for example, 13516 + ... + 33133.

It is an arithmetic number, because the mean of its divisors is an integer number (60668325).

Almost surely, 2^457580041 is an apocalyptic number.

It is an amenable number.

457580041 is a deficient number, since it is larger than the sum of its proper divisors (27766559).

457580041 is a wasteful number, since it uses less digits than its factorization.

457580041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47243.

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 457580041 is about 21391.1206111321. The cubic root of 457580041 is about 770.5882057507.

The spelling of 457580041 in words is "four hundred fifty-seven million, five hundred eighty thousand, forty-one".