117407904 has 96 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 38019072.

The previous prime is 117407903. The next prime is 117407911. The reversal of 117407904 is 409704711.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (117407903) 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 15 ways as a sum of consecutive naturals, for example, 856924 + ... + 857060.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2^117407904 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 117407904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

117407904 is an abundant number, since it is smaller than the sum of its proper divisors (199749216).

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

117407904 is a wasteful number, since it uses less digits than its factorization.

117407904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 117407904 is about 10835.4927899012. The cubic root of 117407904 is about 489.6650550062.

The spelling of 117407904 in words is "one hundred seventeen million, four hundred seven thousand, nine hundred four".