488673504 has 216 divisors, whose sum is σ = 1572905880. Its totient is φ = 143700480.

The previous prime is 488673499. The next prime is 488673529. The reversal of 488673504 is 405376884.

488673504 is a `hidden beast` number, since 4 + 88 + 67 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 488673504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1289187 + ... + 1289565.

Almost surely, 2^488673504 is an apocalyptic number.

488673504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488673504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786452940).

488673504 is an abundant number, since it is smaller than the sum of its proper divisors (1084232376).

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

488673504 is a wasteful number, since it uses less digits than its factorization.

488673504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 488673504 is about 22105.9608250806. The cubic root of 488673504 is about 787.6614622822.

The spelling of 488673504 in words is "four hundred eighty-eight million, six hundred seventy-three thousand, five hundred four".