1800744960 has 416 divisors, whose sum is σ = 6793943040. Its totient is φ = 398721024.

The previous prime is 1800744943. The next prime is 1800744973. The reversal of 1800744960 is 694470081.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22794201 + ... + 22794279.

Almost surely, 2^1800744960 is an apocalyptic number.

1800744960 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 1800744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396971520).

1800744960 is an abundant number, since it is smaller than the sum of its proper divisors (4993198080).

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

1800744960 is an equidigital number, since it uses as much as digits as its factorization.

1800744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1800744960 is about 42435.1854007968. The cubic root of 1800744960 is about 1216.6081906801.

The spelling of 1800744960 in words is "one billion, eight hundred million, seven hundred forty-four thousand, nine hundred sixty".