1481200 has 90 divisors (see below), whose sum is σ = 4251464. Its totient is φ = 485760.

The previous prime is 1481197. The next prime is 1481219. The reversal of 1481200 is 21841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64389 + ... + 64411.

2^1481200 is an apocalyptic number.

1481200 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 1481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125732).

1481200 is an abundant number, since it is smaller than the sum of its proper divisors (2770264).

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

1481200 is a wasteful number, since it uses less digits than its factorization.

1481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1481200 is about 1217.0456030897. The cubic root of 1481200 is about 113.9911760894.

It can be divided in two parts, 1481 and 200, that added together give a square (1681 = 41²).

The spelling of 1481200 in words is "one million, four hundred eighty-one thousand, two hundred".