488698560 has 252 divisors, whose sum is σ = 1955919888. Its totient is φ = 111670272.

The previous prime is 488698559. The next prime is 488698579. The reversal of 488698560 is 65896884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 488698497 and 488698506.

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, 139389 + ... + 142851.

Almost surely, 2^488698560 is an apocalyptic number.

488698560 is a gapful number since it is divisible by the number (40) 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 488698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977959944).

488698560 is an abundant number, since it is smaller than the sum of its proper divisors (1467221328).

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

488698560 is a wasteful number, since it uses less digits than its factorization.

488698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 488698560 is about 22106.5275427870. The cubic root of 488698560 is about 787.6749241049.

The spelling of 488698560 in words is "four hundred eighty-eight million, six hundred ninety-eight thousand, five hundred sixty".