488480256 has 240 divisors, whose sum is σ = 1608647040. Its totient is φ = 141250560.

The previous prime is 488480243. The next prime is 488480393. The reversal of 488480256 is 652084884.

It is a super-2 number, since 2×488480256² = 477225921003651072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165615 + ... + 1166033.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^488480256 is an apocalyptic number.

488480256 is a gapful number since it is divisible by the number (46) 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 488480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

488480256 is an abundant number, since it is smaller than the sum of its proper divisors (1120166784).

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

488480256 is a wasteful number, since it uses less digits than its factorization.

488480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 488480256 is about 22101.5894451055. The cubic root of 488480256 is about 787.5576205760.

The spelling of 488480256 in words is "four hundred eighty-eight million, four hundred eighty thousand, two hundred fifty-six".