482424768 has 112 divisors (see below), whose sum is σ = 1620885760. Its totient is φ = 137832192.

The previous prime is 482424751. The next prime is 482424791. The reversal of 482424768 is 867424284.

It is a tau number, because it is divible by the number of its divisors (112).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7846 + ... + 32037.

Almost surely, 2^482424768 is an apocalyptic number.

482424768 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 482424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810442880).

482424768 is an abundant number, since it is smaller than the sum of its proper divisors (1138460992).

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

482424768 is a wasteful number, since it uses less digits than its factorization.

482424768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39911 (or 39895 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 482424768 is about 21964.1700958629. The cubic root of 482424768 is about 784.2897374198.

It can be divided in two parts, 4824 and 24768, that added together give a palindrome (29592).

The spelling of 482424768 in words is "four hundred eighty-two million, four hundred twenty-four thousand, seven hundred sixty-eight".