118424400 has 240 divisors, whose sum is σ = 406848960. Its totient is φ = 29388800.

The previous prime is 118424399. The next prime is 118424413. The reversal of 118424400 is 4424811.

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 (24).

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 47 ways as a sum of consecutive naturals, for example, 1426759 + ... + 1426841.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 2^118424400 is an apocalyptic number.

118424400 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 118424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203424480).

118424400 is an abundant number, since it is smaller than the sum of its proper divisors (288424560).

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

118424400 is a wasteful number, since it uses less digits than its factorization.

118424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 118424400 is about 10882.2975515284. The cubic root of 118424400 is about 491.0741395395.

The spelling of 118424400 in words is "one hundred eighteen million, four hundred twenty-four thousand, four hundred".