488144 has 10 divisors (see below), whose sum is σ = 945810. Its totient is φ = 244064.

The previous prime is 488143. The next prime is 488149. The reversal of 488144 is 441884.

It can be written as a sum of positive squares in only one way, i.e., 250000 + 238144 = 500^2 + 488^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15239 + ... + 15270.

It is an arithmetic number, because the mean of its divisors is an integer number (94581).

2⁴⁸⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

488144 is a deficient number, since it is larger than the sum of its proper divisors (457666).

488144 is a wasteful number, since it uses less digits than its factorization.

488144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30517 (or 30511 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 488144 is about 698.6730279609. The cubic root of 488144 is about 78.7376868294.

It can be divided in two parts, 48 and 8144, that added together give a 13-th power (8192 = 2¹³).

The spelling of 488144 in words is "four hundred eighty-eight thousand, one hundred forty-four".