186420480 has 144 divisors (see below), whose sum is σ = 609766080. Its totient is φ = 48513024.

The previous prime is 186420473. The next prime is 186420491. The reversal of 186420480 is 84024681.

186420480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164556 + ... + 165684.

Almost surely, 2^186420480 is an apocalyptic number.

186420480 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 186420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304883040).

186420480 is an abundant number, since it is smaller than the sum of its proper divisors (423345600).

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

186420480 is a wasteful number, since it uses less digits than its factorization.

186420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 186420480 is about 13653.5885392815. The cubic root of 186420480 is about 571.2565691842.

The spelling of 186420480 in words is "one hundred eighty-six million, four hundred twenty thousand, four hundred eighty".