482296320 has 360 divisors, whose sum is σ = 1846592748. Its totient is φ = 116244480.

The previous prime is 482296301. The next prime is 482296363. The reversal of 482296320 is 23692284.

482296320 is a `hidden beast` number, since 48 + 2 + 296 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 468635904 + 13660416 = 21648^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 2787754 + ... + 2787926.

Almost surely, 2^482296320 is an apocalyptic number.

482296320 is a gapful number since it is divisible by the number (40) 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 482296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923296374).

482296320 is an abundant number, since it is smaller than the sum of its proper divisors (1364296428).

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

482296320 is a wasteful number, since it uses less digits than its factorization.

482296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 482296320 is about 21961.2458662982. The cubic root of 482296320 is about 784.2201242234.

The spelling of 482296320 in words is "four hundred eighty-two million, two hundred ninety-six thousand, three hundred twenty".