488627040 has 288 divisors, whose sum is σ = 1737469440. Its totient is φ = 115287040.

The previous prime is 488627011. The next prime is 488627063. The reversal of 488627040 is 40726884.

It is a self number, because there is not a number n which added to its sum of digits gives 488627040.

It is a congruent number.

It is an unprimeable number.

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, 2729671 + ... + 2729849.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^488627040 is an apocalyptic number.

488627040 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 488627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

488627040 is an abundant number, since it is smaller than the sum of its proper divisors (1248842400).

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

488627040 is a wasteful number, since it uses less digits than its factorization.

488627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 488627040 is about 22104.9098618384. The cubic root of 488627040 is about 787.6364973776.

The spelling of 488627040 in words is "four hundred eighty-eight million, six hundred twenty-seven thousand, forty".