10471200 has 72 divisors (see below), whose sum is σ = 34091568. Its totient is φ = 2791680.

The previous prime is 10471189. The next prime is 10471217. The reversal of 10471200 is 217401.

10471200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10471200.

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, 219 + ... + 4581.

It is an arithmetic number, because the mean of its divisors is an integer number (473494).

Almost surely, 2^10471200 is an apocalyptic number.

10471200 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 10471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17045784).

10471200 is an abundant number, since it is smaller than the sum of its proper divisors (23620368).

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

10471200 is a wasteful number, since it uses less digits than its factorization.

10471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4373 counting only the distinct ones).

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

The square root of 10471200 is about 3235.9233612680. The cubic root of 10471200 is about 218.7755670797.

Adding to 10471200 its reverse (217401), we get a palindrome (10688601).

The spelling of 10471200 in words is "ten million, four hundred seventy-one thousand, two hundred".