117479376 has 160 divisors (see below), whose sum is σ = 393189120. Its totient is φ = 32887296.

The previous prime is 117479371. The next prime is 117479393. The reversal of 117479376 is 673974711.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117479371) 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, 159906 + ... + 160638.

It is an arithmetic number, because the mean of its divisors is an integer number (2457432).

Almost surely, 2^117479376 is an apocalyptic number.

117479376 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 117479376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196594560).

117479376 is an abundant number, since it is smaller than the sum of its proper divisors (275709744).

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

117479376 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (117479375) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (798).

117479376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 117479376 is about 10838.7903384095. The cubic root of 117479376 is about 489.7643959662.

It can be divided in two parts, 117479 and 376, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 117479376 in words is "one hundred seventeen million, four hundred seventy-nine thousand, three hundred seventy-six".