116258400 has 216 divisors, whose sum is σ = 417801384. Its totient is φ = 30412800.

The previous prime is 116258383. The next prime is 116258407. The reversal of 116258400 is 4852611.

116258400 is a `hidden beast` number, since 1 + 1 + 6 + 258 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116258407) 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, 482280 + ... + 482520.

Almost surely, 2^116258400 is an apocalyptic number.

116258400 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 116258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208900692).

116258400 is an abundant number, since it is smaller than the sum of its proper divisors (301542984).

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

116258400 is a wasteful number, since it uses less digits than its factorization.

116258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116258400 is about 10782.3188600597. The cubic root of 116258400 is about 488.0617587340.

The spelling of 116258400 in words is "one hundred sixteen million, two hundred fifty-eight thousand, four hundred".