482417040 has 320 divisors, whose sum is σ = 1805598720. Its totient is φ = 104232960.

The previous prime is 482417027. The next prime is 482417053. The reversal of 482417040 is 40714284.

It is an interprime number because it is at equal distance from previous prime (482417027) and next prime (482417053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 482416989 and 482417007.

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 63 ways as a sum of consecutive naturals, for example, 3072642 + ... + 3072798.

It is an arithmetic number, because the mean of its divisors is an integer number (5642496).

Almost surely, 2^482417040 is an apocalyptic number.

482417040 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 482417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902799360).

482417040 is an abundant number, since it is smaller than the sum of its proper divisors (1323181680).

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

482417040 is a wasteful number, since it uses less digits than its factorization.

482417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 482417040 is about 21963.9941722811. The cubic root of 482417040 is about 784.2855495313.

The spelling of 482417040 in words is "four hundred eighty-two million, four hundred seventeen thousand, forty".