1001956480 has 128 divisors (see below), whose sum is σ = 2758896000. Its totient is φ = 340844544.

The previous prime is 1001956471. The next prime is 1001956511. The reversal of 1001956480 is 846591001.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 621916 + ... + 623524.

It is an arithmetic number, because the mean of its divisors is an integer number (21553875).

Almost surely, 2^1001956480 is an apocalyptic number.

1001956480 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 1001956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379448000).

1001956480 is an abundant number, since it is smaller than the sum of its proper divisors (1756939520).

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

1001956480 is a wasteful number, since it uses less digits than its factorization.

1001956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 1001956480 is about 31653.6961506867. The cubic root of 1001956480 is about 1000.6517351490.

The spelling of 1001956480 in words is "one billion, one million, nine hundred fifty-six thousand, four hundred eighty".