1800480 has 144 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 422400.

The previous prime is 1800473. The next prime is 1800493. The reversal of 1800480 is 840081.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58065 + ... + 58095.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2^1800480 is an apocalyptic number.

1800480 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 1800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

1800480 is an abundant number, since it is smaller than the sum of its proper divisors (4634592).

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

1800480 is a wasteful number, since it uses less digits than its factorization.

1800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

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

The square root of 1800480 is about 1341.8196600140. The cubic root of 1800480 is about 121.6548517540.

The spelling of 1800480 in words is "one million, eight hundred thousand, four hundred eighty".