482817892320 has 480 divisors, whose sum is σ = 1780225413120. Its totient is φ = 123088481280.

The previous prime is 482817892303. The next prime is 482817892327. The reversal of 482817892320 is 23298718284.

482817892320 is a `hidden beast` number, since 48 + 28 + 178 + 92 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×482817892320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482817892327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33338841 + ... + 33353319.

It is an arithmetic number, because the mean of its divisors is an integer number (3708802944).

Almost surely, 2^482817892320 is an apocalyptic number.

482817892320 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 482817892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890112706560).

482817892320 is an abundant number, since it is smaller than the sum of its proper divisors (1297407520800).

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

482817892320 is a wasteful number, since it uses less digits than its factorization.

482817892320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14620 (or 14603 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 482817892320 in words is "four hundred eighty-two billion, eight hundred seventeen million, eight hundred ninety-two thousand, three hundred twenty".