488059968 has 112 divisors (see below), whose sum is σ = 1417685760. Its totient is φ = 146956800.

The previous prime is 488059967. The next prime is 488059981. The reversal of 488059968 is 869950884.

It is a super-2 number, since 2×488059968² = 476405064728322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488059967) 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, 377403 + ... + 378693.

Almost surely, 2^488059968 is an apocalyptic number.

488059968 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 488059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708842880).

488059968 is an abundant number, since it is smaller than the sum of its proper divisors (929625792).

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

488059968 is a wasteful number, since it uses less digits than its factorization.

488059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The square root of 488059968 is about 22092.0793045834. The cubic root of 488059968 is about 787.3316844612.

The spelling of 488059968 in words is "four hundred eighty-eight million, fifty-nine thousand, nine hundred sixty-eight".