482606880 has 432 divisors, whose sum is σ = 1905011136. Its totient is φ = 102359040.

The previous prime is 482606879. The next prime is 482606881. The reversal of 482606880 is 88606284.

It is an interprime number because it is at equal distance from previous prime (482606879) and next prime (482606881).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482606881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6797245 + ... + 6797315.

It is an arithmetic number, because the mean of its divisors is an integer number (4409748).

Almost surely, 2^482606880 is an apocalyptic number.

482606880 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 482606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952505568).

482606880 is an abundant number, since it is smaller than the sum of its proper divisors (1422404256).

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

482606880 is a wasteful number, since it uses less digits than its factorization.

482606880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 482606880 is about 21968.3153655441. The cubic root of 482606880 is about 784.3884129810.

The spelling of 482606880 in words is "four hundred eighty-two million, six hundred six thousand, eight hundred eighty".