488152 has 32 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 199584.

The previous prime is 488149. The next prime is 488153. The reversal of 488152 is 251884.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 488152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488153) by changing a digit.

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, 1099 + ... + 1477.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2⁴⁸⁸¹⁵² 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 488152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547200).

488152 is an abundant number, since it is smaller than the sum of its proper divisors (606248).

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

488152 is a wasteful number, since it uses less digits than its factorization.

488152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 488152 is about 698.6787530761. The cubic root of 488152 is about 78.7381169607.

The spelling of 488152 in words is "four hundred eighty-eight thousand, one hundred fifty-two".