482245964640 has 1728 divisors, whose sum is σ = 2034512363520. Its totient is φ = 103464345600.

The previous prime is 482245964639. The next prime is 482245964657. The reversal of 482245964640 is 46469542284.

482245964640 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 4 + 596 + 4 + 6 + 40 = 666.

It is a super-2 number, since 2×482245964640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3797212257 + ... + 3797212383.

It is an arithmetic number, because the mean of its divisors is an integer number (1177379840).

Almost surely, 2^482245964640 is an apocalyptic number.

482245964640 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 482245964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017256181760).

482245964640 is an abundant number, since it is smaller than the sum of its proper divisors (1552266398880).

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

482245964640 is a wasteful number, since it uses less digits than its factorization.

482245964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 482245964640 in words is "four hundred eighty-two billion, two hundred forty-five million, nine hundred sixty-four thousand, six hundred forty".