488577360 has 160 divisors (see below), whose sum is σ = 1581898752. Its totient is φ = 124600320.

The previous prime is 488577359. The next prime is 488577389. The reversal of 488577360 is 63775884.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721342 + ... + 722018.

Almost surely, 2^488577360 is an apocalyptic number.

488577360 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 488577360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790949376).

488577360 is an abundant number, since it is smaller than the sum of its proper divisors (1093321392).

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

488577360 is a wasteful number, since it uses less digits than its factorization.

488577360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 488577360 is about 22103.7861010280. The cubic root of 488577360 is about 787.6098027795.

The spelling of 488577360 in words is "four hundred eighty-eight million, five hundred seventy-seven thousand, three hundred sixty".