482594112 has 672 divisors, whose sum is σ = 1988173824. Its totient is φ = 111974400.

The previous prime is 482594107. The next prime is 482594131. The reversal of 482594112 is 211495284.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15567537 + ... + 15567567.

It is an arithmetic number, because the mean of its divisors is an integer number (2958592).

Almost surely, 2^482594112 is an apocalyptic number.

482594112 is a gapful number since it is divisible by the number (42) 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 482594112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994086912).

482594112 is an abundant number, since it is smaller than the sum of its proper divisors (1505579712).

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

482594112 is a wasteful number, since it uses less digits than its factorization.

482594112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 482594112 is about 21968.0247632781. The cubic root of 482594112 is about 784.3814955775.

The spelling of 482594112 in words is "four hundred eighty-two million, five hundred ninety-four thousand, one hundred twelve".