482588832 has 96 divisors (see below), whose sum is σ = 1395201024. Its totient is φ = 144838400.

The previous prime is 482588831. The next prime is 482588837. The reversal of 482588832 is 238885284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×482588832² = 465783961542248448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (482588831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110857 + ... + 115127.

It is an arithmetic number, because the mean of its divisors is an integer number (14533344).

Almost surely, 2^482588832 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 482588832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697600512).

482588832 is an abundant number, since it is smaller than the sum of its proper divisors (912612192).

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

482588832 is a wasteful number, since it uses less digits than its factorization.

482588832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4394 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 482588832 is about 21967.9045882852. The cubic root of 482588832 is about 784.3786349614.

The spelling of 482588832 in words is "four hundred eighty-two million, five hundred eighty-eight thousand, eight hundred thirty-two".