482261294592 has 960 divisors, whose sum is σ = 1804115529216. Its totient is φ = 120394874880.

The previous prime is 482261294509. The next prime is 482261294611. The reversal of 482261294592 is 295492162284.

482261294592 is a `hidden beast` number, since 4 + 8 + 2 + 26 + 1 + 29 + 4 + 592 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113767208 + ... + 1113767640.

Almost surely, 2^482261294592 is an apocalyptic number.

482261294592 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 482261294592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902057764608).

482261294592 is an abundant number, since it is smaller than the sum of its proper divisors (1321854234624).

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

482261294592 is a wasteful number, since it uses less digits than its factorization.

482261294592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 572 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 482261294592 in words is "four hundred eighty-two billion, two hundred sixty-one million, two hundred ninety-four thousand, five hundred ninety-two".