457640403105 has 32 divisors (see below), whose sum is σ = 746042664960. Its totient is φ = 239506787520.

The previous prime is 457640403079. The next prime is 457640403131. The reversal of 457640403105 is 501304046754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457640403079) and next prime (457640403131).

It is not a de Polignac number, because 457640403105 - 2¹⁸ = 457640140961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991491 + ... + 1377800.

It is an arithmetic number, because the mean of its divisors is an integer number (23313833280).

Almost surely, 2^457640403105 is an apocalyptic number.

It is an amenable number.

457640403105 is a deficient number, since it is larger than the sum of its proper divisors (288402261855).

457640403105 is a wasteful number, since it uses less digits than its factorization.

457640403105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369541.

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 457640403105 its reverse (501304046754), we get a palindrome (958944449859).

The spelling of 457640403105 in words is "four hundred fifty-seven billion, six hundred forty million, four hundred three thousand, one hundred five".