116982400 has 96 divisors (see below), whose sum is σ = 292168800. Its totient is φ = 46279680.

The previous prime is 116982391. The next prime is 116982413. The reversal of 116982400 is 4289611.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444669 + ... + 444931.

It is an arithmetic number, because the mean of its divisors is an integer number (3043425).

Almost surely, 2^116982400 is an apocalyptic number.

116982400 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 116982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146084400).

116982400 is an abundant number, since it is smaller than the sum of its proper divisors (175186400).

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

116982400 is a wasteful number, since it uses less digits than its factorization.

116982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 116982400 is about 10815.8402355064. The cubic root of 116982400 is about 489.0727988828.

Adding to 116982400 its product of nonzero digits (3456), we get a 4-th power (116985856 = 104⁴).

The spelling of 116982400 in words is "one hundred sixteen million, nine hundred eighty-two thousand, four hundred".