488633 has 2 divisors, whose sum is σ = 488634. Its totient is φ = 488632.

The previous prime is 488627. The next prime is 488639. The reversal of 488633 is 336884.

It is a balanced prime because it is at equal distance from previous prime (488627) and next prime (488639).

It can be written as a sum of positive squares in only one way, i.e., 394384 + 94249 = 628^2 + 307^2 .

It is a cyclic number.

It is not a de Polignac number, because 488633 - 2⁴ = 488617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 488633.

It is not a weakly prime, because it can be changed into another prime (488639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 244316 + 244317.

It is an arithmetic number, because the mean of its divisors is an integer number (244317).

2⁴⁸⁸⁶³³ is an apocalyptic number.

It is an amenable number.

488633 is a deficient number, since it is larger than the sum of its proper divisors (1).

488633 is an equidigital number, since it uses as much as digits as its factorization.

488633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 32.

The square root of 488633 is about 699.0228894679. The cubic root of 488633 is about 78.7639699748.

Subtracting from 488633 its sum of digits (32), we obtain a square (488601 = 699²).

The spelling of 488633 in words is "four hundred eighty-eight thousand, six hundred thirty-three".