118172400 has 240 divisors, whose sum is σ = 409616640. Its totient is φ = 29030400.

The previous prime is 118172377. The next prime is 118172437. The reversal of 118172400 is 4271811.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×118172400² = 27929432243520000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618764 + ... + 1618836.

It is an arithmetic number, because the mean of its divisors is an integer number (1706736).

Almost surely, 2^118172400 is an apocalyptic number.

118172400 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 118172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204808320).

118172400 is an abundant number, since it is smaller than the sum of its proper divisors (291444240).

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

118172400 is a wasteful number, since it uses less digits than its factorization.

118172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 118172400 is about 10870.7129481005. The cubic root of 118172400 is about 490.7255667649.

The spelling of 118172400 in words is "one hundred eighteen million, one hundred seventy-two thousand, four hundred".