457952559108 has 96 divisors (see below), whose sum is σ = 1179300487680. Its totient is φ = 137155434240.

The previous prime is 457952558941. The next prime is 457952559109. The reversal of 457952559108 is 801955259754.

It is not an unprimeable number, because it can be changed into a prime (457952559109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32922691 + ... + 32936597.

It is an arithmetic number, because the mean of its divisors is an integer number (12284380080).

Almost surely, 2^457952559108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457952559108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589650243840).

457952559108 is an abundant number, since it is smaller than the sum of its proper divisors (721347928572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457952559108 is a wasteful number, since it uses less digits than its factorization.

457952559108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16817 (or 16815 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 60.

It can be divided in two parts, 45795 and 2559108, that added together give a triangular number (2604903 = T₂₂₈₂).

The spelling of 457952559108 in words is "four hundred fifty-seven billion, nine hundred fifty-two million, five hundred fifty-nine thousand, one hundred eight".