482869600752 has 480 divisors, whose sum is σ = 1668608916480. Its totient is φ = 118801213440.

The previous prime is 482869600751. The next prime is 482869600769. The reversal of 482869600752 is 257006968284.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 482869600692 and 482869600701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482869600751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39759193 + ... + 39771335.

It is an arithmetic number, because the mean of its divisors is an integer number (3476268576).

Almost surely, 2^482869600752 is an apocalyptic number.

482869600752 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 482869600752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834304458240).

482869600752 is an abundant number, since it is smaller than the sum of its proper divisors (1185739315728).

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

482869600752 is a wasteful number, since it uses less digits than its factorization.

482869600752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 482869600752 in words is "four hundred eighty-two billion, eight hundred sixty-nine million, six hundred thousand, seven hundred fifty-two".