180294432 has 48 divisors (see below), whose sum is σ = 479283840. Its totient is φ = 59334912.

The previous prime is 180294431. The next prime is 180294449. The reversal of 180294432 is 234492081.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 180294393 and 180294402.

It is not an unprimeable number, because it can be changed into a prime (180294431) 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 7 ways as a sum of consecutive naturals, for example, 4303 + ... + 19470.

It is an arithmetic number, because the mean of its divisors is an integer number (9985080).

Almost surely, 2^180294432 is an apocalyptic number.

180294432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180294432 is an abundant number, since it is smaller than the sum of its proper divisors (298989408).

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

180294432 is a wasteful number, since it uses less digits than its factorization.

180294432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23857 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 180294432 is about 13427.3762142870. The cubic root of 180294432 is about 564.9293064238.

The spelling of 180294432 in words is "one hundred eighty million, two hundred ninety-four thousand, four hundred thirty-two".