482832240 has 160 divisors (see below), whose sum is σ = 1677321216. Its totient is φ = 113863680.

The previous prime is 482832239. The next prime is 482832247. The reversal of 482832240 is 42238284.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482832247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95209 + ... + 100151.

Almost surely, 2^482832240 is an apocalyptic number.

482832240 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 482832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838660608).

482832240 is an abundant number, since it is smaller than the sum of its proper divisors (1194488976).

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

482832240 is a wasteful number, since it uses less digits than its factorization.

482832240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 482832240 is about 21973.4439722134. The cubic root of 482832240 is about 784.5104876773.

The spelling of 482832240 in words is "four hundred eighty-two million, eight hundred thirty-two thousand, two hundred forty".