488610360 has 256 divisors, whose sum is σ = 1900800000. Its totient is φ = 111597696.

The previous prime is 488610349. The next prime is 488610361. The reversal of 488610360 is 63016884.

It is a happy number.

488610360 is a `hidden beast` number, since 4 + 8 + 8 + 610 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488610361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369781 + ... + 371099.

It is an arithmetic number, because the mean of its divisors is an integer number (7425000).

Almost surely, 2^488610360 is an apocalyptic number.

488610360 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 488610360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400000).

488610360 is an abundant number, since it is smaller than the sum of its proper divisors (1412189640).

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

488610360 is a wasteful number, since it uses less digits than its factorization.

488610360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 488610360 is about 22104.5325668742. The cubic root of 488610360 is about 787.6275349003.

The spelling of 488610360 in words is "four hundred eighty-eight million, six hundred ten thousand, three hundred sixty".