1395200 has 60 divisors (see below), whose sum is σ = 3488430. Its totient is φ = 552960.

The previous prime is 1395187. The next prime is 1395209. The reversal of 1395200 is 25931.

It can be written as a sum of positive squares in 3 ways, for example, as 1149184 + 246016 = 1072^2 + 496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1395209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12746 + ... + 12854.

2^1395200 is an apocalyptic number.

1395200 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 1395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744215).

1395200 is an abundant number, since it is smaller than the sum of its proper divisors (2093230).

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

1395200 is an equidigital number, since it uses as much as digits as its factorization.

1395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1395200 is about 1181.1858448187. The cubic root of 1395200 is about 111.7408976499.

The spelling of 1395200 in words is "one million, three hundred ninety-five thousand, two hundred".