488360 has 32 divisors (see below), whose sum is σ = 1139400. Its totient is φ = 188160.

The previous prime is 488353. The next prime is 488381. The reversal of 488360 is 63884.

It can be written as a sum of positive squares in 4 ways, for example, as 232324 + 256036 = 482^2 + 506^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950 + ... + 1370.

2⁴⁸⁸³⁶⁰ is an apocalyptic number.

488360 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 488360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569700).

488360 is an abundant number, since it is smaller than the sum of its proper divisors (651040).

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

488360 is a wasteful number, since it uses less digits than its factorization.

488360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 488360 is about 698.8275896099. The cubic root of 488360 is about 78.7492987256.

It can be divided in two parts, 488 and 360, that added together give a palindrome (848).

The spelling of 488360 in words is "four hundred eighty-eight thousand, three hundred sixty".