482210826240 has 1152 divisors, whose sum is σ = 1936844058240. Its totient is φ = 101386813440.

The previous prime is 482210826197. The next prime is 482210826247. The reversal of 482210826240 is 42628012284.

482210826240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (482210826247) 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, 821483227 + ... + 821483813.

It is an arithmetic number, because the mean of its divisors is an integer number (1681288245).

Almost surely, 2^482210826240 is an apocalyptic number.

482210826240 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 482210826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968422029120).

482210826240 is an abundant number, since it is smaller than the sum of its proper divisors (1454633232000).

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

482210826240 is a wasteful number, since it uses less digits than its factorization.

482210826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 482210826240 in words is "four hundred eighty-two billion, two hundred ten million, eight hundred twenty-six thousand, two hundred forty".