1415200 has 72 divisors (see below), whose sum is σ = 3632580. Its totient is φ = 537600.

The previous prime is 1415191. The next prime is 1415207. The reversal of 1415200 is 25141.

It can be written as a sum of positive squares in 6 ways, for example, as 169744 + 1245456 = 412^2 + 1116^2 .

It is not an unprimeable number, because it can be changed into a prime (1415207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23170 + ... + 23230.

2^1415200 is an apocalyptic number.

1415200 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 1415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816290).

1415200 is an abundant number, since it is smaller than the sum of its proper divisors (2217380).

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

1415200 is a wasteful number, since it uses less digits than its factorization.

1415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1415200 is about 1189.6217886370. The cubic root of 1415200 is about 112.2722966342.

The spelling of 1415200 in words is "one million, four hundred fifteen thousand, two hundred".