181830456 has 96 divisors (see below), whose sum is σ = 541008000. Its totient is φ = 54914112.

The previous prime is 181830391. The next prime is 181830457. The reversal of 181830456 is 654038181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 181830456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181830457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28575 + ... + 34353.

It is an arithmetic number, because the mean of its divisors is an integer number (5635500).

Almost surely, 2^181830456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181830456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270504000).

181830456 is an abundant number, since it is smaller than the sum of its proper divisors (359177544).

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

181830456 is a wasteful number, since it uses less digits than its factorization.

181830456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 181830456 is about 13484.4523804269. The cubic root of 181830456 is about 566.5290827841.

The spelling of 181830456 in words is "one hundred eighty-one million, eight hundred thirty thousand, four hundred fifty-six".