5785460480 has 144 divisors (see below), whose sum is σ = 15223057920. Its totient is φ = 2096861184.

The previous prime is 5785460477. The next prime is 5785460497. The reversal of 5785460480 is 840645875.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

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, 554189 + ... + 564531.

It is an arithmetic number, because the mean of its divisors is an integer number (105715680).

Almost surely, 2^5785460480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5785460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611528960).

5785460480 is an abundant number, since it is smaller than the sum of its proper divisors (9437597440).

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

5785460480 is a wasteful number, since it uses less digits than its factorization.

5785460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The square root of 5785460480 is about 76062.2145352080. The cubic root of 5785460480 is about 1795.1991906055.

The spelling of 5785460480 in words is "five billion, seven hundred eighty-five million, four hundred sixty thousand, four hundred eighty".