118374400 has 135 divisors (see below), whose sum is σ = 311843539. Its totient is φ = 44564480.

The previous prime is 118374397. The next prime is 118374407. The reversal of 118374400 is 4473811.

The square root of 118374400 is 10880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2768896 + 115605504 = 1664^2 + 10752^2 .

It is a super-3 number, since 3×118374400³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118374407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6963192 + ... + 6963208.

Almost surely, 2^118374400 is an apocalyptic number.

118374400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118374400 is the 10880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118374400

118374400 is an abundant number, since it is smaller than the sum of its proper divisors (193469139).

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

118374400 is an frugal number, since it uses more digits than its factorization.

118374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 118374400 is about 491.0050176260.

The spelling of 118374400 in words is "one hundred eighteen million, three hundred seventy-four thousand, four hundred".