482375040 has 256 divisors, whose sum is σ = 1850688000. Its totient is φ = 104398848.

The previous prime is 482374999. The next prime is 482375077. The reversal of 482375040 is 40573284.

It is a junction number, because it is equal to n+sod(n) for n = 482374992 and 482375010.

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 31 ways as a sum of consecutive naturals, for example, 254416 + ... + 256304.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^482375040 is an apocalyptic number.

482375040 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 482375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

482375040 is an abundant number, since it is smaller than the sum of its proper divisors (1368312960).

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

482375040 is a wasteful number, since it uses less digits than its factorization.

482375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 482375040 is about 21963.0380412183. The cubic root of 482375040 is about 784.2627884854.

The spelling of 482375040 in words is "four hundred eighty-two million, three hundred seventy-five thousand, forty".