488096240 has 80 divisors (see below), whose sum is σ = 1184090880. Its totient is φ = 186900480.

The previous prime is 488096233. The next prime is 488096243. The reversal of 488096240 is 42690884.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488096243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239546 + ... + 241574.

It is an arithmetic number, because the mean of its divisors is an integer number (14801136).

It is the magic constant of a 992 × 992 magic square.

Almost surely, 2^488096240 is an apocalyptic number.

488096240 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 488096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592045440).

488096240 is an abundant number, since it is smaller than the sum of its proper divisors (695994640).

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

488096240 is a wasteful number, since it uses less digits than its factorization.

488096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 488096240 is about 22092.9002170381. The cubic root of 488096240 is about 787.3511884766.

The spelling of 488096240 in words is "four hundred eighty-eight million, ninety-six thousand, two hundred forty".