488401968 has 80 divisors (see below), whose sum is σ = 1281668960. Its totient is φ = 160247808.

The previous prime is 488401951. The next prime is 488401999. The reversal of 488401968 is 869104884.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1449096 + ... + 1449432.

It is an arithmetic number, because the mean of its divisors is an integer number (16020862).

Almost surely, 2^488401968 is an apocalyptic number.

488401968 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 488401968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640834480).

488401968 is an abundant number, since it is smaller than the sum of its proper divisors (793266992).

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

488401968 is a wasteful number, since it uses less digits than its factorization.

488401968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 488401968 is about 22099.8182797959. The cubic root of 488401968 is about 787.5155447675.

The spelling of 488401968 in words is "four hundred eighty-eight million, four hundred one thousand, nine hundred sixty-eight".