180378432 has 252 divisors, whose sum is σ = 598223340. Its totient is φ = 51757056.

The previous prime is 180378431. The next prime is 180378437. The reversal of 180378432 is 234873081.

It can be written as a sum of positive squares in 6 ways, for example, as 3594816 + 176783616 = 1896^2 + 13296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180378431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1654794 + ... + 1654902.

Almost surely, 2^180378432 is an apocalyptic number.

180378432 is a gapful number since it is divisible by the number (12) 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 180378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299111670).

180378432 is an abundant number, since it is smaller than the sum of its proper divisors (417844908).

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

180378432 is a wasteful number, since it uses less digits than its factorization.

180378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 180378432 is about 13430.5037880193. The cubic root of 180378432 is about 565.0170271841.

The spelling of 180378432 in words is "one hundred eighty million, three hundred seventy-eight thousand, four hundred thirty-two".