480203568 has 240 divisors, whose sum is σ = 1592398080. Its totient is φ = 133664256.

The previous prime is 480203551. The next prime is 480203569. The reversal of 480203568 is 865302084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480203569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817771 + ... + 818357.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^480203568 is an apocalyptic number.

480203568 is a gapful number since it is divisible by the number (48) 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 480203568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

480203568 is an abundant number, since it is smaller than the sum of its proper divisors (1112194512).

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

480203568 is a wasteful number, since it uses less digits than its factorization.

480203568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 480203568 is about 21913.5475904747. The cubic root of 480203568 is about 783.0841989479.

The spelling of 480203568 in words is "four hundred eighty million, two hundred three thousand, five hundred sixty-eight".