457913295459 has 48 divisors (see below), whose sum is σ = 699152407200. Its totient is φ = 288001916928.

The previous prime is 457913295457. The next prime is 457913295461. The reversal of 457913295459 is 954592319754.

457913295459 is a `hidden beast` number, since 4 + 5 + 7 + 91 + 3 + 2 + 95 + 459 = 666.

It is an interprime number because it is at equal distance from previous prime (457913295457) and next prime (457913295461).

It is not a de Polignac number, because 457913295459 - 2¹ = 457913295457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457913295396 and 457913295405.

It is not an unprimeable number, because it can be changed into a prime (457913295457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 48828979 + ... + 48838355.

It is an arithmetic number, because the mean of its divisors is an integer number (14565675150).

Almost surely, 2^457913295459 is an apocalyptic number.

457913295459 is a deficient number, since it is larger than the sum of its proper divisors (241239111741).

457913295459 is a wasteful number, since it uses less digits than its factorization.

457913295459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564 (or 10561 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The spelling of 457913295459 in words is "four hundred fifty-seven billion, nine hundred thirteen million, two hundred ninety-five thousand, four hundred fifty-nine".