480380682240 has 768 divisors, whose sum is σ = 1780486336800. Its totient is φ = 122872135680.

The previous prime is 480380682233. The next prime is 480380682241. The reversal of 480380682240 is 42286083084.

480380682240 is a `hidden beast` number, since 48 + 0 + 380 + 6 + 8 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480380682241) 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 47 ways as a sum of consecutive naturals, for example, 4251156424 + ... + 4251156536.

Almost surely, 2^480380682240 is an apocalyptic number.

480380682240 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 480380682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890243168400).

480380682240 is an abundant number, since it is smaller than the sum of its proper divisors (1300105654560).

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

480380682240 is an equidigital number, since it uses as much as digits as its factorization.

480380682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 480380682240 in words is "four hundred eighty billion, three hundred eighty million, six hundred eighty-two thousand, two hundred forty".