1845874800 has 360 divisors, whose sum is σ = 7987524480. Its totient is φ = 383500800.

The previous prime is 1845874799. The next prime is 1845874801. The reversal of 1845874800 is 84785481.

It is an interprime number because it is at equal distance from previous prime (1845874799) and next prime (1845874801).

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct 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 not an unprimeable number, because it can be changed into a prime (1845874801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273871 + ... + 280529.

It is an arithmetic number, because the mean of its divisors is an integer number (22187568).

Almost surely, 2^1845874800 is an apocalyptic number.

1845874800 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 1845874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993762240).

1845874800 is an abundant number, since it is smaller than the sum of its proper divisors (6141649680).

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

1845874800 is a wasteful number, since it uses less digits than its factorization.

1845874800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1845874800 is about 42963.6450967559. The cubic root of 1845874800 is about 1226.6878967393.

The spelling of 1845874800 in words is "one billion, eight hundred forty-five million, eight hundred seventy-four thousand, eight hundred".