488171520 has 144 divisors (see below), whose sum is σ = 1692234180. Its totient is φ = 130154496.

The previous prime is 488171501. The next prime is 488171533. The reversal of 488171520 is 25171884.

488171520 is a `hidden beast` number, since 488 + 171 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483296256 + 4875264 = 21984^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×488171520² = 476622865878220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89512 + ... + 94808.

Almost surely, 2^488171520 is an apocalyptic number.

488171520 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 488171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846117090).

488171520 is an abundant number, since it is smaller than the sum of its proper divisors (1204062660).

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

488171520 is a wasteful number, since it uses less digits than its factorization.

488171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 488171520 is about 22094.6038661027. The cubic root of 488171520 is about 787.3916646134.

The spelling of 488171520 in words is "four hundred eighty-eight million, one hundred seventy-one thousand, five hundred twenty".