482701440 has 256 divisors, whose sum is σ = 1684126080. Its totient is φ = 116883456.

The previous prime is 482701397. The next prime is 482701447. The reversal of 482701440 is 44107284.

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 = 482701398 and 482701407.

It is not an unprimeable number, because it can be changed into a prime (482701447) by changing a digit.

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, 2071564 + ... + 2071796.

Almost surely, 2^482701440 is an apocalyptic number.

482701440 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 482701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040).

482701440 is an abundant number, since it is smaller than the sum of its proper divisors (1201424640).

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

482701440 is a wasteful number, since it uses less digits than its factorization.

482701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

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

The square root of 482701440 is about 21970.4674506484. The cubic root of 482701440 is about 784.4396395781.

The spelling of 482701440 in words is "four hundred eighty-two million, seven hundred one thousand, four hundred forty".