116414400 has 168 divisors, whose sum is σ = 388030720. Its totient is φ = 30551040.

The previous prime is 116414371. The next prime is 116414429. The reversal of 116414400 is 4414611.

It is an interprime number because it is at equal distance from previous prime (116414371) and next prime (116414429).

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 23 ways as a sum of consecutive naturals, for example, 379047 + ... + 379353.

Almost surely, 2^116414400 is an apocalyptic number.

116414400 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 116414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194015360).

116414400 is an abundant number, since it is smaller than the sum of its proper divisors (271616320).

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

116414400 is a wasteful number, since it uses less digits than its factorization.

116414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 116414400 is about 10789.5505003684. The cubic root of 116414400 is about 488.2799611891.

The spelling of 116414400 in words is "one hundred sixteen million, four hundred fourteen thousand, four hundred".