1481800 has 48 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 571200.

The previous prime is 1481797. The next prime is 1481801. The reversal of 1481800 is 81841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6081 + ... + 6319.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

2^1481800 is an apocalyptic number.

1481800 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 1481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1481800 is an abundant number, since it is smaller than the sum of its proper divisors (2089400).

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

1481800 is a wasteful number, since it uses less digits than its factorization.

1481800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1481800 is about 1217.2920767014. The cubic root of 1481800 is about 114.0065657448.

Subtracting from 1481800 its product of nonzero digits (256), we obtain a cube (1481544 = 114³).

The spelling of 1481800 in words is "one million, four hundred eighty-one thousand, eight hundred".