482408498880 has 2688 divisors, whose sum is σ = 2331275821056. Its totient is φ = 91968307200.

The previous prime is 482408498879. The next prime is 482408498881. The reversal of 482408498880 is 88894804284.

482408498880 is a `hidden beast` number, since 48 + 24 + 0 + 8 + 498 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (482408498879) and next prime (482408498881).

It is a super-2 number, since 2×482408498880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (482408498881) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4269101704 + ... + 4269101816.

It is an arithmetic number, because the mean of its divisors is an integer number (867290112).

Almost surely, 2^482408498880 is an apocalyptic number.

482408498880 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 482408498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165637910528).

482408498880 is an abundant number, since it is smaller than the sum of its proper divisors (1848867322176).

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

482408498880 is a wasteful number, since it uses less digits than its factorization.

482408498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 482408498880 in words is "four hundred eighty-two billion, four hundred eight million, four hundred ninety-eight thousand, eight hundred eighty".