1017795480 has 128 divisors (see below), whose sum is σ = 3368675520. Its totient is φ = 244408320.

The previous prime is 1017795479. The next prime is 1017795487. The reversal of 1017795480 is 845977101.

1017795480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017795487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56004 + ... + 71916.

Almost surely, 2^1017795480 is an apocalyptic number.

1017795480 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 1017795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684337760).

1017795480 is an abundant number, since it is smaller than the sum of its proper divisors (2350880040).

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

1017795480 is a wasteful number, since it uses less digits than its factorization.

1017795480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15981 (or 15977 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 1017795480 is about 31902.9070775690. The cubic root of 1017795480 is about 1005.8969838929.

The spelling of 1017795480 in words is "one billion, seventeen million, seven hundred ninety-five thousand, four hundred eighty".