488404 has 12 divisors (see below), whose sum is σ = 976864. Its totient is φ = 209304.

The previous prime is 488401. The next prime is 488407. The reversal of 488404 is 404884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (488401) and next prime (488407).

488404 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 17443 = 488404 / (4 + 8 + 8 + 4 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8694 + ... + 8749.

2⁴⁸⁸⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

488404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

488404 is a wasteful number, since it uses less digits than its factorization.

488404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17454 (or 17452 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 488404 is about 698.8590701994. The cubic root of 488404 is about 78.7516636921.

The spelling of 488404 in words is "four hundred eighty-eight thousand, four hundred four".