1009968480 has 192 divisors, whose sum is σ = 3549873600. Its totient is φ = 268185600.

The previous prime is 1009968461. The next prime is 1009968493. The reversal of 1009968480 is 848699001.

1009968480 is a `hidden beast` number, since 100 + 9 + 9 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680180 + ... + 1680780.

It is an arithmetic number, because the mean of its divisors is an integer number (18488925).

Almost surely, 2^1009968480 is an apocalyptic number.

1009968480 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 1009968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774936800).

1009968480 is an abundant number, since it is smaller than the sum of its proper divisors (2539905120).

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

1009968480 is a wasteful number, since it uses less digits than its factorization.

1009968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1009968480 is about 31780.0012586532. The cubic root of 1009968480 is about 1003.3118462327.

The spelling of 1009968480 in words is "one billion, nine million, nine hundred sixty-eight thousand, four hundred eighty".