118085400 has 216 divisors, whose sum is σ = 423125820. Its totient is φ = 29506560.

The previous prime is 118085347. The next prime is 118085441. The reversal of 118085400 is 4580811.

118085400 is a `hidden beast` number, since 1 + 180 + 85 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 520087 + ... + 520313.

Almost surely, 2^118085400 is an apocalyptic number.

118085400 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 118085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211562910).

118085400 is an abundant number, since it is smaller than the sum of its proper divisors (305040420).

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

118085400 is a wasteful number, since it uses less digits than its factorization.

118085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 118085400 is about 10866.7106338579. The cubic root of 118085400 is about 490.6051110982.

The spelling of 118085400 in words is "one hundred eighteen million, eighty-five thousand, four hundred".