488067552 has 384 divisors, whose sum is σ = 1776660480. Its totient is φ = 127180800.

The previous prime is 488067551. The next prime is 488067557. The reversal of 488067552 is 255760884.

It is a junction number, because it is equal to n+sod(n) for n = 488067498 and 488067507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488067551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4832302 + ... + 4832402.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^488067552 is an apocalyptic number.

488067552 is a gapful number since it is divisible by the number (42) 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 488067552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240).

488067552 is an abundant number, since it is smaller than the sum of its proper divisors (1288592928).

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

488067552 is a wasteful number, since it uses less digits than its factorization.

488067552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 488067552 is about 22092.2509491450. The cubic root of 488067552 is about 787.3357625752.

The spelling of 488067552 in words is "four hundred eighty-eight million, sixty-seven thousand, five hundred fifty-two".