117734400 has 396 divisors, whose sum is σ = 488365072. Its totient is φ = 26542080.

The previous prime is 117734399. The next prime is 117734417. The reversal of 117734400 is 4437711.

It is a super-2 number, since 2×117734400² = 27722777886720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612764 + ... + 1612836.

Almost surely, 2^117734400 is an apocalyptic number.

117734400 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 117734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244182536).

117734400 is an abundant number, since it is smaller than the sum of its proper divisors (370630672).

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

117734400 is a wasteful number, since it uses less digits than its factorization.

117734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117734400 is about 10850.5483732390. The cubic root of 117734400 is about 490.1185330345.

The spelling of 117734400 in words is "one hundred seventeen million, seven hundred thirty-four thousand, four hundred".