1001338480 has 80 divisors (see below), whose sum is σ = 2361661344. Its totient is φ = 394813440.

The previous prime is 1001338451. The next prime is 1001338537. The reversal of 1001338480 is 848331001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 2312344 + ... + 2312776.

Almost surely, 2^1001338480 is an apocalyptic number.

1001338480 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 1001338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180830672).

1001338480 is an abundant number, since it is smaller than the sum of its proper divisors (1360322864).

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

1001338480 is a wasteful number, since it uses less digits than its factorization.

1001338480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1001338480 is about 31643.9327517930. The cubic root of 1001338480 is about 1000.4459610891.

Adding to 1001338480 its reverse (848331001), we get a palindrome (1849669481).

The spelling of 1001338480 in words is "one billion, one million, three hundred thirty-eight thousand, four hundred eighty".