1800456000 has 336 divisors, whose sum is σ = 6920252352. Its totient is φ = 411264000.

The previous prime is 1800455963. The next prime is 1800456011. The reversal of 1800456000 is 6540081.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1175235 + ... + 1176765.

Almost surely, 2^1800456000 is an apocalyptic number.

1800456000 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 1800456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460126176).

1800456000 is an abundant number, since it is smaller than the sum of its proper divisors (5119796352).

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

1800456000 is a wasteful number, since it uses less digits than its factorization.

1800456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1800456000 is about 42431.7805424189. The cubic root of 1800456000 is about 1216.5431120753.

Adding to 1800456000 its reverse (6540081), we get a palindrome (1806996081).

The spelling of 1800456000 in words is "one billion, eight hundred million, four hundred fifty-six thousand".