116240400 has 240 divisors, whose sum is σ = 424377600. Its totient is φ = 30205440.

The previous prime is 116240393. The next prime is 116240417. The reversal of 116240400 is 4042611.

116240400 is a `hidden beast` number, since 1 + 1 + 624 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507486 + ... + 507714.

It is an arithmetic number, because the mean of its divisors is an integer number (1768240).

Almost surely, 2^116240400 is an apocalyptic number.

116240400 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 116240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212188800).

116240400 is an abundant number, since it is smaller than the sum of its proper divisors (308137200).

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

116240400 is a wasteful number, since it uses less digits than its factorization.

116240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 116240400 is about 10781.4841278926. The cubic root of 116240400 is about 488.0365689697.

The spelling of 116240400 in words is "one hundred sixteen million, two hundred forty thousand, four hundred".