1395800 has 48 divisors (see below), whose sum is σ = 3712560. Its totient is φ = 478080.

The previous prime is 1395791. The next prime is 1395809. The reversal of 1395800 is 85931.

It is an interprime number because it is at equal distance from previous prime (1395791) and next prime (1395809).

It is a self number, because there is not a number n which added to its sum of digits gives 1395800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 902 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (77345).

2^1395800 is an apocalyptic number.

1395800 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 1395800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856280).

1395800 is an abundant number, since it is smaller than the sum of its proper divisors (2316760).

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

1395800 is a wasteful number, since it uses less digits than its factorization.

1395800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1395800 is about 1181.4397995666. The cubic root of 1395800 is about 111.7569132582.

The spelling of 1395800 in words is "one million, three hundred ninety-five thousand, eight hundred".