488872320 has 128 divisors (see below), whose sum is σ = 1574333280. Its totient is φ = 129024000.

The previous prime is 488872301. The next prime is 488872327. The reversal of 488872320 is 23278884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×488872320² = 477992290524364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488872327) 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, 192660 + ... + 195180.

Almost surely, 2^488872320 is an apocalyptic number.

488872320 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 488872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787166640).

488872320 is an abundant number, since it is smaller than the sum of its proper divisors (1085460960).

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

488872320 is a wasteful number, since it uses less digits than its factorization.

488872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 488872320 is about 22110.4572544305. The cubic root of 488872320 is about 787.7682673830.

The spelling of 488872320 in words is "four hundred eighty-eight million, eight hundred seventy-two thousand, three hundred twenty".