1002750480 has 120 divisors (see below), whose sum is σ = 3375528000. Its totient is φ = 266768640.

The previous prime is 1002750449. The next prime is 1002750503. The reversal of 1002750480 is 840572001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357885 + ... + 360675.

It is an arithmetic number, because the mean of its divisors is an integer number (28129400).

Almost surely, 2^1002750480 is an apocalyptic number.

1002750480 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 1002750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687764000).

1002750480 is an abundant number, since it is smaller than the sum of its proper divisors (2372777520).

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

1002750480 is a wasteful number, since it uses less digits than its factorization.

1002750480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1002750480 is about 31666.2356461895. The cubic root of 1002750480 is about 1000.9159873776.

The spelling of 1002750480 in words is "one billion, two million, seven hundred fifty thousand, four hundred eighty".