117874400 has 216 divisors, whose sum is σ = 349102656. Its totient is φ = 38707200.

The previous prime is 117874331. The next prime is 117874403. The reversal of 117874400 is 4478711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117874403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1215152 + ... + 1215248.

It is an arithmetic number, because the mean of its divisors is an integer number (1616216).

Almost surely, 2^117874400 is an apocalyptic number.

117874400 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 117874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328).

117874400 is an abundant number, since it is smaller than the sum of its proper divisors (231228256).

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

117874400 is a wasteful number, since it uses less digits than its factorization.

117874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 117874400 is about 10856.9977433911. The cubic root of 117874400 is about 490.3127255414.

The spelling of 117874400 in words is "one hundred seventeen million, eight hundred seventy-four thousand, four hundred".