117480 has 64 divisors (see below), whose sum is σ = 388800. Its totient is φ = 28160.

The previous prime is 117443. The next prime is 117497. The reversal of 117480 is 84711.

117480 = T₁ + T₂ + ... + T₈₈.

117480 is a nontrivial binomial coefficient, being equal to C(90, 3).

It is a congruent number.

It is an unprimeable number.

It is the 88-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2¹¹⁷⁴⁸⁰ is an apocalyptic number.

117480 is a gapful number since it is divisible by the number (10) 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 117480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

117480 is an abundant number, since it is smaller than the sum of its proper divisors (271320).

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

117480 is a wasteful number, since it uses less digits than its factorization.

117480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 117480 is about 342.7535557802. The cubic root of 117480 is about 48.9765263104.

The spelling of 117480 in words is "one hundred seventeen thousand, four hundred eighty".