488577141 has 18 divisors (see below), whose sum is σ = 764187138. Its totient is φ = 300661920.

The previous prime is 488577091. The next prime is 488577149. The reversal of 488577141 is 141775884.

It can be written as a sum of positive squares in 3 ways, for example, as 58844241 + 429732900 = 7671^2 + 20730^2 .

It is not a de Polignac number, because 488577141 - 2¹⁰ = 488576117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488577149) 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, 159090 + ... + 162131.

It is an arithmetic number, because the mean of its divisors is an integer number (42454841).

Almost surely, 2^488577141 is an apocalyptic number.

It is an amenable number.

488577141 is a deficient number, since it is larger than the sum of its proper divisors (275609997).

488577141 is a wasteful number, since it uses less digits than its factorization.

488577141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321253 (or 321237 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The square root of 488577141 is about 22103.7811471250. The cubic root of 488577141 is about 787.6096851000.

The spelling of 488577141 in words is "four hundred eighty-eight million, five hundred seventy-seven thousand, one hundred forty-one".