117456000 has 128 divisors (see below), whose sum is σ = 389525760. Its totient is φ = 31308800.

The previous prime is 117455983. The next prime is 117456029. The reversal of 117456000 is 654711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46777 + ... + 49223.

It is an arithmetic number, because the mean of its divisors is an integer number (3043170).

Almost surely, 2^117456000 is an apocalyptic number.

117456000 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 117456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194762880).

117456000 is an abundant number, since it is smaller than the sum of its proper divisors (272069760).

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

117456000 is an equidigital number, since it uses as much as digits as its factorization.

117456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 117456000 is about 10837.7119356440. The cubic root of 117456000 is about 489.7319094358.

The spelling of 117456000 in words is "one hundred seventeen million, four hundred fifty-six thousand".