1945200 has 60 divisors (see below), whose sum is σ = 6234968. Its totient is φ = 518400.

The previous prime is 1945199. The next prime is 1945243. The reversal of 1945200 is 25491.

It is a tau number, because it is divible by the number of its divisors (60).

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, 390 + ... + 2010.

2^1945200 is an apocalyptic number.

1945200 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 1945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117484).

1945200 is an abundant number, since it is smaller than the sum of its proper divisors (4289768).

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

1945200 is a wasteful number, since it uses less digits than its factorization.

1945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1945200 is about 1394.7042697289. The cubic root of 1945200 is about 124.8307041482.

It can be divided in two parts, 1945 and 200, that added together give a triangular number (2145 = T₆₅).

The spelling of 1945200 in words is "one million, nine hundred forty-five thousand, two hundred".