482091449952 has 384 divisors, whose sum is σ = 1591136870400. Its totient is φ = 124617056256.

The previous prime is 482091449947. The next prime is 482091449977. The reversal of 482091449952 is 259944190284.

It is a super-2 number, since 2×482091449952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 482091449892 and 482091449901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296306163 + ... + 296307789.

It is an arithmetic number, because the mean of its divisors is an integer number (4143585600).

Almost surely, 2^482091449952 is an apocalyptic number.

482091449952 is a gapful number since it is divisible by the number (42) 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 482091449952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795568435200).

482091449952 is an abundant number, since it is smaller than the sum of its proper divisors (1109045420448).

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

482091449952 is a wasteful number, since it uses less digits than its factorization.

482091449952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 482091449952 in words is "four hundred eighty-two billion, ninety-one million, four hundred forty-nine thousand, nine hundred fifty-two".