480937248 has 216 divisors, whose sum is σ = 1548070524. Its totient is φ = 141419520.

The previous prime is 480937243. The next prime is 480937307. The reversal of 480937248 is 842739084.

It can be written as a sum of positive squares in 2 ways, for example, as 451647504 + 29289744 = 21252^2 + 5412^2 .

It is a super-3 number, since 3×480937248³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480937243) 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 35 ways as a sum of consecutive naturals, for example, 1289190 + ... + 1289562.

Almost surely, 2^480937248 is an apocalyptic number.

480937248 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 480937248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774035262).

480937248 is an abundant number, since it is smaller than the sum of its proper divisors (1067133276).

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

480937248 is a wasteful number, since it uses less digits than its factorization.

480937248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 480937248 is about 21930.2815303406. The cubic root of 480937248 is about 783.4828082745.

The spelling of 480937248 in words is "four hundred eighty million, nine hundred thirty-seven thousand, two hundred forty-eight".