488181512 has 72 divisors (see below), whose sum is σ = 1153147050. Its totient is φ = 193100544.

The previous prime is 488181511. The next prime is 488181539. The reversal of 488181512 is 215181884.

It can be written as a sum of positive squares in 3 ways, for example, as 363054916 + 125126596 = 19054^2 + 11186^2 .

It is a super-2 number, since 2×488181512² = 476642377317212288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (488181511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62564 + ... + 69932.

Almost surely, 2^488181512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488181512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576573525).

488181512 is an abundant number, since it is smaller than the sum of its proper divisors (664965538).

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

488181512 is a wasteful number, since it uses less digits than its factorization.

488181512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7391 counting only the distinct ones).

The product of its digits is 20480, while the sum is 38.

The square root of 488181512 is about 22094.8299835052. The cubic root of 488181512 is about 787.3970367442.

The spelling of 488181512 in words is "four hundred eighty-eight million, one hundred eighty-one thousand, five hundred twelve".