488610 has 48 divisors (see below), whose sum is σ = 1305720. Its totient is φ = 126720.

The previous prime is 488603. The next prime is 488611. The reversal of 488610 is 16884.

488610 is a `hidden beast` number, since 48 + 8 + 610 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173889 + 314721 = 417^2 + 561^2 .

It is not an unprimeable number, because it can be changed into a prime (488611) by changing a digit.

488610 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5446 + ... + 5534.

2⁴⁸⁸⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652860).

488610 is an abundant number, since it is smaller than the sum of its proper divisors (817110).

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

488610 is a wasteful number, since it uses less digits than its factorization.

488610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 488610 is about 699.0064377386. The cubic root of 488610 is about 78.7627341463.

The spelling of 488610 in words is "four hundred eighty-eight thousand, six hundred ten".