488890240 has 64 divisors (see below), whose sum is σ = 1193693760. Its totient is φ = 191383552.

The previous prime is 488890187. The next prime is 488890247. The reversal of 488890240 is 42098884.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488890247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21954 + ... + 38206.

It is an arithmetic number, because the mean of its divisors is an integer number (18651465).

Almost surely, 2^488890240 is an apocalyptic number.

488890240 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 488890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596846880).

488890240 is an abundant number, since it is smaller than the sum of its proper divisors (704803520).

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

488890240 is a wasteful number, since it uses less digits than its factorization.

488890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16319 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 488890240 is about 22110.8624888311. The cubic root of 488890240 is about 787.7778926875. Note that the first 3 decimals are identical.

The spelling of 488890240 in words is "four hundred eighty-eight million, eight hundred ninety thousand, two hundred forty".