482436864 has 432 divisors, whose sum is σ = 1795449600. Its totient is φ = 125079552.

The previous prime is 482436853. The next prime is 482436881. The reversal of 482436864 is 468634284.

It is a tau number, because it is divible by the number of its divisors (432).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8176867 + ... + 8176925.

Almost surely, 2^482436864 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 482436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897724800).

482436864 is an abundant number, since it is smaller than the sum of its proper divisors (1313012736).

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

482436864 is a wasteful number, since it uses less digits than its factorization.

482436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 482436864 is about 21964.4454516840. The cubic root of 482436864 is about 784.2962922860.

The spelling of 482436864 in words is "four hundred eighty-two million, four hundred thirty-six thousand, eight hundred sixty-four".