188484480 has 192 divisors, whose sum is σ = 666871920. Its totient is φ = 49029120.

The previous prime is 188484419. The next prime is 188484487. The reversal of 188484480 is 84484881.

188484480 is a `hidden beast` number, since 18 + 84 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188484487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247300 + ... + 248060.

Almost surely, 2^188484480 is an apocalyptic number.

188484480 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 188484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333435960).

188484480 is an abundant number, since it is smaller than the sum of its proper divisors (478387440).

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

188484480 is a wasteful number, since it uses less digits than its factorization.

188484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 188484480 is about 13728.9650010480. The cubic root of 188484480 is about 573.3571049575.

The spelling of 188484480 in words is "one hundred eighty-eight million, four hundred eighty-four thousand, four hundred eighty".