117384400 has 180 divisors, whose sum is σ = 337207212. Its totient is φ = 39137280.

The previous prime is 117384391. The next prime is 117384401. The reversal of 117384400 is 4483711.

It can be written as a sum of positive squares in 6 ways, for example, as 14077504 + 103306896 = 3752^2 + 10164^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117384401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1038744 + ... + 1038856.

Almost surely, 2^117384400 is an apocalyptic number.

117384400 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 117384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168603606).

117384400 is an abundant number, since it is smaller than the sum of its proper divisors (219822812).

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

117384400 is a wasteful number, since it uses less digits than its factorization.

117384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 117384400 is about 10834.4081518097. The cubic root of 117384400 is about 489.6323773212.

The spelling of 117384400 in words is "one hundred seventeen million, three hundred eighty-four thousand, four hundred".