118238400 has 672 divisors, whose sum is σ = 544250880. Its totient is φ = 24330240.

The previous prime is 118238399. The next prime is 118238401. The reversal of 118238400 is 4832811.

It is an interprime number because it is at equal distance from previous prime (118238399) and next prime (118238401).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×118238400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (118238401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5140789 + ... + 5140811.

Almost surely, 2^118238400 is an apocalyptic number.

118238400 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 118238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

118238400 is an abundant number, since it is smaller than the sum of its proper divisors (426012480).

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

118238400 is a wasteful number, since it uses less digits than its factorization.

118238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 118238400 is about 10873.7482038164. The cubic root of 118238400 is about 490.8169074944.

The spelling of 118238400 in words is "one hundred eighteen million, two hundred thirty-eight thousand, four hundred".