482706432 has 352 divisors, whose sum is σ = 1650700800. Its totient is φ = 138018816.

The previous prime is 482706397. The next prime is 482706461. The reversal of 482706432 is 234607284.

482706432 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 0 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6110169 + ... + 6110247.

Almost surely, 2^482706432 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 482706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825350400).

482706432 is an abundant number, since it is smaller than the sum of its proper divisors (1167994368).

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

482706432 is a wasteful number, since it uses less digits than its factorization.

482706432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 482706432 is about 21970.5810574049. The cubic root of 482706432 is about 784.4423437404.

The spelling of 482706432 in words is "four hundred eighty-two million, seven hundred six thousand, four hundred thirty-two".