488460 has 48 divisors (see below), whose sum is σ = 1564416. Its totient is φ = 111552.

The previous prime is 488459. The next prime is 488473. The reversal of 488460 is 64884.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (32592).

2⁴⁸⁸⁴⁶⁰ 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 488460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782208).

488460 is an abundant number, since it is smaller than the sum of its proper divisors (1075956).

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

488460 is a wasteful number, since it uses less digits than its factorization.

488460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 488460 is about 698.8991343534. The cubic root of 488460 is about 78.7546734440.

The spelling of 488460 in words is "four hundred eighty-eight thousand, four hundred sixty".