118790400 has 216 divisors, whose sum is σ = 410598720. Its totient is φ = 30187520.

The previous prime is 118790389. The next prime is 118790401. The reversal of 118790400 is 4097811.

It is a super-2 number, since 2×118790400² = 28222318264320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118790401) 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, 441466 + ... + 441734.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^118790400 is an apocalyptic number.

118790400 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 118790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205299360).

118790400 is an abundant number, since it is smaller than the sum of its proper divisors (291808320).

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

118790400 is a wasteful number, since it uses less digits than its factorization.

118790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 118790400 is about 10899.1008803479. The cubic root of 118790400 is about 491.5795204478.

The spelling of 118790400 in words is "one hundred eighteen million, seven hundred ninety thousand, four hundred".