5782400460 has 120 divisors (see below), whose sum is σ = 18395457696. Its totient is φ = 1520225280.

The previous prime is 5782400411. The next prime is 5782400471. The reversal of 5782400460 is 640042875.

5782400460 is a `hidden beast` number, since 578 + 2 + 40 + 0 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89884 + ... + 140156.

Almost surely, 2^5782400460 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 5782400460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9197728848).

5782400460 is an abundant number, since it is smaller than the sum of its proper divisors (12613057236).

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

5782400460 is a wasteful number, since it uses less digits than its factorization.

5782400460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50365 (or 50354 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5782400460 is about 76042.0966307479. The cubic root of 5782400460 is about 1794.8826318668.

The spelling of 5782400460 in words is "five billion, seven hundred eighty-two million, four hundred thousand, four hundred sixty".