180430440 has 64 divisors (see below), whose sum is σ = 546687360. Its totient is φ = 47635200.

The previous prime is 180430427. The next prime is 180430457. The reversal of 180430440 is 44034081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 180430440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4677 + ... + 19563.

It is an arithmetic number, because the mean of its divisors is an integer number (8541990).

Almost surely, 2^180430440 is an apocalyptic number.

180430440 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 180430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273343680).

180430440 is an abundant number, since it is smaller than the sum of its proper divisors (366256920).

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

180430440 is a wasteful number, since it uses less digits than its factorization.

180430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15002 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 180430440 is about 13432.4398379446. The cubic root of 180430440 is about 565.0713252165.

The spelling of 180430440 in words is "one hundred eighty million, four hundred thirty thousand, four hundred forty".