180744480 has 384 divisors, whose sum is σ = 745113600. Its totient is φ = 40061952.

The previous prime is 180744463. The next prime is 180744481. The reversal of 180744480 is 84447081.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (180744481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300251 + ... + 1300389.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2^180744480 is an apocalyptic number.

180744480 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 180744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372556800).

180744480 is an abundant number, since it is smaller than the sum of its proper divisors (564369120).

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

180744480 is a wasteful number, since it uses less digits than its factorization.

180744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 180744480 is about 13444.1243671724. The cubic root of 180744480 is about 565.3989716023.

The spelling of 180744480 in words is "one hundred eighty million, seven hundred forty-four thousand, four hundred eighty".