117959456 has 48 divisors (see below), whose sum is σ = 243601344. Its totient is φ = 56120064.

The previous prime is 117959453. The next prime is 117959507. The reversal of 117959456 is 654959711.

It is a self number, because there is not a number n which added to its sum of digits gives 117959456.

It is not an unprimeable number, because it can be changed into a prime (117959453) 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, 215375 + ... + 215921.

It is an arithmetic number, because the mean of its divisors is an integer number (5075028).

Almost surely, 2^117959456 is an apocalyptic number.

117959456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117959456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121800672).

117959456 is an abundant number, since it is smaller than the sum of its proper divisors (125641888).

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

117959456 is a wasteful number, since it uses less digits than its factorization.

117959456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its digits is 340200, while the sum is 47.

The square root of 117959456 is about 10860.9141420048. The cubic root of 117959456 is about 490.4306307361.

The spelling of 117959456 in words is "one hundred seventeen million, nine hundred fifty-nine thousand, four hundred fifty-six".