482386968 has 256 divisors, whose sum is σ = 1658880000. Its totient is φ = 129378816.

The previous prime is 482386937. The next prime is 482386969. The reversal of 482386968 is 869683284.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482386969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259305 + ... + 1259687.

It is an arithmetic number, because the mean of its divisors is an integer number (6480000).

Almost surely, 2^482386968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482386968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440000).

482386968 is an abundant number, since it is smaller than the sum of its proper divisors (1176493032).

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

482386968 is a wasteful number, since it uses less digits than its factorization.

482386968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 482386968 is about 21963.3095866720. The cubic root of 482386968 is about 784.2692527568.

The spelling of 482386968 in words is "four hundred eighty-two million, three hundred eighty-six thousand, nine hundred sixty-eight".