488401 has 2 divisors, whose sum is σ = 488402. Its totient is φ = 488400.

The previous prime is 488399. The next prime is 488407. The reversal of 488401 is 104884.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 129600 = 599^2 + 360^2 .

It is a cyclic number.

It is not a de Polignac number, because 488401 - 2¹ = 488399 is a prime.

Together with 488399, it forms a pair of twin primes.

488401 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (488407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 244200 + 244201.

It is an arithmetic number, because the mean of its divisors is an integer number (244201).

2⁴⁸⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

488401 is a deficient number, since it is larger than the sum of its proper divisors (1).

488401 is an equidigital number, since it uses as much as digits as its factorization.

488401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 488401 is about 698.8569238406. The cubic root of 488401 is about 78.7515024489.

It can be divided in two parts, 48840 and 1, that added together give a square (48841 = 221²).

The spelling of 488401 in words is "four hundred eighty-eight thousand, four hundred one".