1001800480 has 96 divisors (see below), whose sum is σ = 2532476016. Its totient is φ = 373161984.

The previous prime is 1001800477. The next prime is 1001800507. The reversal of 1001800480 is 840081001.

It can be written as a sum of positive squares in 8 ways, for example, as 231404944 + 770395536 = 15212^2 + 27756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261942 + ... + 265738.

Almost surely, 2^1001800480 is an apocalyptic number.

1001800480 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 1001800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266238008).

1001800480 is an abundant number, since it is smaller than the sum of its proper divisors (1530675536).

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

1001800480 is a wasteful number, since it uses less digits than its factorization.

1001800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1001800480 is about 31651.2318875585. The cubic root of 1001800480 is about 1000.5998001678.

Adding to 1001800480 its reverse (840081001), we get a palindrome (1841881481).

The spelling of 1001800480 in words is "one billion, one million, eight hundred thousand, four hundred eighty".