116282400 has 144 divisors (see below), whose sum is σ = 407723904. Its totient is φ = 28615680.

The previous prime is 116282393. The next prime is 116282401. The reversal of 116282400 is 4282611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (116282401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29337 + ... + 33063.

It is an arithmetic number, because the mean of its divisors is an integer number (2831416).

Almost surely, 2^116282400 is an apocalyptic number.

116282400 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 116282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203861952).

116282400 is an abundant number, since it is smaller than the sum of its proper divisors (291441504).

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

116282400 is a wasteful number, since it uses less digits than its factorization.

116282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 116282400 is about 10783.4317357695. The cubic root of 116282400 is about 488.0953410423.

It can be divided in two parts, 11628 and 2400, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 116282400 in words is "one hundred sixteen million, two hundred eighty-two thousand, four hundred".