117456480 has 336 divisors, whose sum is σ = 446206320. Its totient is φ = 29113344.

The previous prime is 117456473. The next prime is 117456487. The reversal of 117456480 is 84654711.

It is a happy number.

117456480 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117456473) and next prime (117456487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117456487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2216134 + ... + 2216186.

It is an arithmetic number, because the mean of its divisors is an integer number (1327995).

Almost surely, 2^117456480 is an apocalyptic number.

117456480 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 117456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223103160).

117456480 is an abundant number, since it is smaller than the sum of its proper divisors (328749840).

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

117456480 is an equidigital number, since it uses as much as digits as its factorization.

117456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 117456480 is about 10837.7340805170. The cubic root of 117456480 is about 489.7325765537.

It can be divided in two parts, 11745 and 6480, that added together give a square (18225 = 135²).

The spelling of 117456480 in words is "one hundred seventeen million, four hundred fifty-six thousand, four hundred eighty".