482611968 has 216 divisors, whose sum is σ = 1492283520. Its totient is φ = 149667840.

The previous prime is 482611949. The next prime is 482611981. The reversal of 482611968 is 869116284.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071180 + ... + 2071412.

It is an arithmetic number, because the mean of its divisors is an integer number (6908720).

Almost surely, 2^482611968 is an apocalyptic number.

482611968 is a gapful number since it is divisible by the number (48) 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 482611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746141760).

482611968 is an abundant number, since it is smaller than the sum of its proper divisors (1009671552).

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

482611968 is a wasteful number, since it uses less digits than its factorization.

482611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 482611968 is about 21968.4311683834. The cubic root of 482611968 is about 784.3911695063.

The spelling of 482611968 in words is "four hundred eighty-two million, six hundred eleven thousand, nine hundred sixty-eight".