488670336 has 288 divisors, whose sum is σ = 1786758480. Its totient is φ = 126766080.

The previous prime is 488670331. The next prime is 488670341. The reversal of 488670336 is 633076884.

It is an interprime number because it is at equal distance from previous prime (488670331) and next prime (488670341).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 488670291 and 488670300.

It is not an unprimeable number, because it can be changed into a prime (488670331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620535 + ... + 621321.

Almost surely, 2^488670336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893379240).

488670336 is an abundant number, since it is smaller than the sum of its proper divisors (1298088144).

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

488670336 is a wasteful number, since it uses less digits than its factorization.

488670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 488670336 is about 22105.8891700832. The cubic root of 488670336 is about 787.6597601798.

The spelling of 488670336 in words is "four hundred eighty-eight million, six hundred seventy thousand, three hundred thirty-six".