488033 has 16 divisors (see below), whose sum is σ = 623616. Its totient is φ = 371520.

The previous prime is 488021. The next prime is 488051. The reversal of 488033 is 330884.

It is a cyclic number.

It is not a de Polignac number, because 488033 - 2¹² = 483937 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 487993 and 488011.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488033.

It is not an unprimeable number, because it can be changed into a prime (488003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (38976).

2⁴⁸⁸⁰³³ is an apocalyptic number.

It is an amenable number.

488033 is a deficient number, since it is larger than the sum of its proper divisors (135583).

488033 is a wasteful number, since it uses less digits than its factorization.

488033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 488033 is about 698.5935871449. The cubic root of 488033 is about 78.7317182724.

It can be divided in two parts, 4880 and 33, that added together give a cube (4913 = 17³).

The spelling of 488033 in words is "four hundred eighty-eight thousand, thirty-three".