1845298800 has 240 divisors, whose sum is σ = 6677950560. Its totient is φ = 483840000.

The previous prime is 1845298789. The next prime is 1845298811. The reversal of 1845298800 is 88925481.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1845298789) and next prime (1845298811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1845298800² = 6810255322562880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657400 + ... + 660200.

It is an arithmetic number, because the mean of its divisors is an integer number (27824794).

Almost surely, 2^1845298800 is an apocalyptic number.

1845298800 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 1845298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338975280).

1845298800 is an abundant number, since it is smaller than the sum of its proper divisors (4832651760).

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

1845298800 is a wasteful number, since it uses less digits than its factorization.

1845298800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1845298800 is about 42956.9412318894. The cubic root of 1845298800 is about 1226.5602886379.

The spelling of 1845298800 in words is "one billion, eight hundred forty-five million, two hundred ninety-eight thousand, eight hundred".