1485200 has 60 divisors (see below), whose sum is σ = 3690240. Its totient is φ = 574080.

The previous prime is 1485199. The next prime is 1485221. The reversal of 1485200 is 25841.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18761 + ... + 18839.

It is an arithmetic number, because the mean of its divisors is an integer number (61504).

2^1485200 is an apocalyptic number.

1485200 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 1485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845120).

1485200 is an abundant number, since it is smaller than the sum of its proper divisors (2205040).

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

1485200 is a wasteful number, since it uses less digits than its factorization.

1485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1485200 is about 1218.6878189266. The cubic root of 1485200 is about 114.0936954144.

The spelling of 1485200 in words is "one million, four hundred eighty-five thousand, two hundred".