1487200 has 108 divisors (see below), whose sum is σ = 4288788. Its totient is φ = 499200.

The previous prime is 1487197. The next prime is 1487201. The reversal of 1487200 is 27841.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1487201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114394 + ... + 114406.

It is an arithmetic number, because the mean of its divisors is an integer number (39711).

2^1487200 is an apocalyptic number.

1487200 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 1487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144394).

1487200 is an abundant number, since it is smaller than the sum of its proper divisors (2801588).

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

1487200 is a wasteful number, since it uses less digits than its factorization.

1487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1487200 is about 1219.5080975541. The cubic root of 1487200 is about 114.1448860599.

Multiplying 1487200 by its sum of digits (22), we get a square (32718400 = 5720²).

1487200 divided by its sum of digits (22) gives a square (67600 = 260²).

The spelling of 1487200 in words is "one million, four hundred eighty-seven thousand, two hundred".