188430240 has 96 divisors (see below), whose sum is σ = 595546560. Its totient is φ = 50079744.

The previous prime is 188430223. The next prime is 188430241. The reversal of 188430240 is 42034881.

188430240 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 188430198 and 188430207.

It is not an unprimeable number, because it can be changed into a prime (188430241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218931 + ... + 219789.

It is an arithmetic number, because the mean of its divisors is an integer number (6203610).

Almost surely, 2^188430240 is an apocalyptic number.

188430240 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 188430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297773280).

188430240 is an abundant number, since it is smaller than the sum of its proper divisors (407116320).

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

188430240 is a wasteful number, since it uses less digits than its factorization.

188430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 188430240 is about 13726.9894732968. The cubic root of 188430240 is about 573.3021015377.

The spelling of 188430240 in words is "one hundred eighty-eight million, four hundred thirty thousand, two hundred forty".