118442400 has 144 divisors (see below), whose sum is σ = 408348864. Its totient is φ = 29716480.

The previous prime is 118442393. The next prime is 118442407. The reversal of 118442400 is 4244811.

It is an interprime number because it is at equal distance from previous prime (118442393) and next prime (118442407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (118442407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39349 + ... + 42251.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^118442400 is an apocalyptic number.

118442400 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 118442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432).

118442400 is an abundant number, since it is smaller than the sum of its proper divisors (289906464).

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

118442400 is a wasteful number, since it uses less digits than its factorization.

118442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2930 counting only the distinct ones).

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

The square root of 118442400 is about 10883.1245513409. The cubic root of 118442400 is about 491.0990186655.

The spelling of 118442400 in words is "one hundred eighteen million, four hundred forty-two thousand, four hundred".