116278400 has 192 divisors, whose sum is σ = 341496000. Its totient is φ = 38277120.

The previous prime is 116278397. The next prime is 116278471. The reversal of 116278400 is 4872611.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649511 + ... + 649689.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 2^116278400 is an apocalyptic number.

116278400 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 116278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

116278400 is an abundant number, since it is smaller than the sum of its proper divisors (225217600).

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

116278400 is a wasteful number, since it uses less digits than its factorization.

116278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 116278400 is about 10783.2462644604. The cubic root of 116278400 is about 488.0897443118.

The spelling of 116278400 in words is "one hundred sixteen million, two hundred seventy-eight thousand, four hundred".