180494400 has 168 divisors, whose sum is σ = 611778304. Its totient is φ = 46540800.

The previous prime is 180494383. The next prime is 180494437. The reversal of 180494400 is 4494081.

180494400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148194 + ... + 149406.

Almost surely, 2^180494400 is an apocalyptic number.

180494400 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 180494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305889152).

180494400 is an abundant number, since it is smaller than the sum of its proper divisors (431283904).

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

180494400 is a wasteful number, since it uses less digits than its factorization.

180494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 180494400 is about 13434.8204305082. The cubic root of 180494400 is about 565.1380872185.

The spelling of 180494400 in words is "one hundred eighty million, four hundred ninety-four thousand, four hundred".