1800219600 has 480 divisors, whose sum is σ = 6986854400. Its totient is φ = 438566400.

The previous prime is 1800219587. The next prime is 1800219649. The reversal of 1800219600 is 69120081.

1800219600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6361059 + ... + 6361341.

Almost surely, 2^1800219600 is an apocalyptic number.

1800219600 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 1800219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493427200).

1800219600 is an abundant number, since it is smaller than the sum of its proper divisors (5186634800).

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

1800219600 is a wasteful number, since it uses less digits than its factorization.

1800219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1800219600 is about 42428.9948030825. The cubic root of 1800219600 is about 1216.4898656793.

Adding to 1800219600 its reverse (69120081), we get a palindrome (1869339681).

The spelling of 1800219600 in words is "one billion, eight hundred million, two hundred nineteen thousand, six hundred".