1845252000 has 144 divisors (see below), whose sum is σ = 6548927112. Its totient is φ = 492057600.

The previous prime is 1845251957. The next prime is 1845252023. The reversal of 1845252000 is 2525481.

It is a happy number.

1845252000 is a `hidden beast` number, since 1 + 8 + 452 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 183548304 + 1661703696 = 13548^2 + 40764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10372 + ... + 61628.

Almost surely, 2^1845252000 is an apocalyptic number.

1845252000 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 1845252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274463556).

1845252000 is an abundant number, since it is smaller than the sum of its proper divisors (4703675112).

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

1845252000 is a wasteful number, since it uses less digits than its factorization.

1845252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51288 (or 51267 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1845252000 is about 42956.3964969130. The cubic root of 1845252000 is about 1226.5499193133.

Adding to 1845252000 its reverse (2525481), we get a palindrome (1847777481).

The spelling of 1845252000 in words is "one billion, eight hundred forty-five million, two hundred fifty-two thousand".