482152320 has 384 divisors, whose sum is σ = 1844519040. Its totient is φ = 115310592.

The previous prime is 482152309. The next prime is 482152337. The reversal of 482152320 is 23251284.

482152320 is a `hidden beast` number, since 482 + 152 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519292 + ... + 3519428.

It is an arithmetic number, because the mean of its divisors is an integer number (4803435).

Almost surely, 2^482152320 is an apocalyptic number.

482152320 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 482152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922259520).

482152320 is an abundant number, since it is smaller than the sum of its proper divisors (1362366720).

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

482152320 is a wasteful number, since it uses less digits than its factorization.

482152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 482152320 is about 21957.9671190208. The cubic root of 482152320 is about 784.1420678266.

The spelling of 482152320 in words is "four hundred eighty-two million, one hundred fifty-two thousand, three hundred twenty".