1471200 has 72 divisors (see below), whose sum is σ = 4796568. Its totient is φ = 391680.

The previous prime is 1471181. The next prime is 1471213. The reversal of 1471200 is 21741.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1471200.

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, 2094 + ... + 2706.

It is an arithmetic number, because the mean of its divisors is an integer number (66619).

2^1471200 is an apocalyptic number.

1471200 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 1471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398284).

1471200 is an abundant number, since it is smaller than the sum of its proper divisors (3325368).

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

1471200 is a wasteful number, since it uses less digits than its factorization.

1471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1471200 is about 1212.9303360045. The cubic root of 1471200 is about 113.7340677279.

Adding to 1471200 its reverse (21741), we get a palindrome (1492941).

It can be divided in two parts, 147 and 1200, that multiplied together give a square (176400 = 420²).

The spelling of 1471200 in words is "one million, four hundred seventy-one thousand, two hundred".