180480000 has 240 divisors, whose sum is σ = 614053440. Its totient is φ = 47104000.

The previous prime is 180479989. The next prime is 180480037. The reversal of 180480000 is 84081.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839977 + ... + 3840023.

It is an arithmetic number, because the mean of its divisors is an integer number (2558556).

Almost surely, 2^180480000 is an apocalyptic number.

180480000 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 180480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307026720).

180480000 is an abundant number, since it is smaller than the sum of its proper divisors (433573440).

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

180480000 is an frugal number, since it uses more digits than its factorization.

180480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 180480000 is about 13434.2844989973. The cubic root of 180480000 is about 565.1230577496.

The spelling of 180480000 in words is "one hundred eighty million, four hundred eighty thousand".