438088907457 has 32 divisors (see below), whose sum is σ = 653039573760. Its totient is φ = 290251451520.

The previous prime is 438088907413. The next prime is 438088907483. The reversal of 438088907457 is 754709880834.

438088907457 is a `hidden beast` number, since 438 + 0 + 8 + 89 + 0 + 74 + 57 = 666.

It is not a de Polignac number, because 438088907457 - 2¹⁹ = 438088383169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 438088907394 and 438088907403.

It is not an unprimeable number, because it can be changed into a prime (438088907857) 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 31 ways as a sum of consecutive naturals, for example, 42474133 + ... + 42484445.

It is an arithmetic number, because the mean of its divisors is an integer number (20407486680).

Almost surely, 2^438088907457 is an apocalyptic number.

It is an amenable number.

438088907457 is a deficient number, since it is larger than the sum of its proper divisors (214950666303).

438088907457 is a wasteful number, since it uses less digits than its factorization.

438088907457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19910 (or 19904 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 438088907457 in words is "four hundred thirty-eight billion, eighty-eight million, nine hundred seven thousand, four hundred fifty-seven".