482906880 has 288 divisors, whose sum is σ = 1743940800. Its totient is φ = 126517248.

The previous prime is 482906867. The next prime is 482906881. The reversal of 482906880 is 88609284.

It is a happy number.

482906880 is a `hidden beast` number, since 482 + 90 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482906881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075762 + ... + 3075918.

It is an arithmetic number, because the mean of its divisors is an integer number (6055350).

Almost surely, 2^482906880 is an apocalyptic number.

482906880 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 482906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871970400).

482906880 is an abundant number, since it is smaller than the sum of its proper divisors (1261033920).

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

482906880 is a wasteful number, since it uses less digits than its factorization.

482906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 482906880 is about 21975.1423203582. The cubic root of 482906880 is about 784.5509108587.

The spelling of 482906880 in words is "four hundred eighty-two million, nine hundred six thousand, eight hundred eighty".