482964480 has 264 divisors, whose sum is σ = 1716728832. Its totient is φ = 125485056.

The previous prime is 482964479. The next prime is 482964481. The reversal of 482964480 is 84469284.

482964480 is a `hidden beast` number, since 4 + 82 + 96 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (482964479) and next prime (482964481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482964481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2165649 + ... + 2165871.

Almost surely, 2^482964480 is an apocalyptic number.

482964480 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 482964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416).

482964480 is an abundant number, since it is smaller than the sum of its proper divisors (1233764352).

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

482964480 is a wasteful number, since it uses less digits than its factorization.

482964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 482964480 is about 21976.4528529970. The cubic root of 482964480 is about 784.5821027494.

The spelling of 482964480 in words is "four hundred eighty-two million, nine hundred sixty-four thousand, four hundred eighty".