488830320 has 360 divisors, whose sum is σ = 1872963456. Its totient is φ = 114048000.

The previous prime is 488830319. The next prime is 488830327. The reversal of 488830320 is 23038884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (488830327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2700630 + ... + 2700810.

Almost surely, 2^488830320 is an apocalyptic number.

488830320 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 488830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936481728).

488830320 is an abundant number, since it is smaller than the sum of its proper divisors (1384133136).

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

488830320 is a wasteful number, since it uses less digits than its factorization.

488830320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 488830320 is about 22109.5074572004. The cubic root of 488830320 is about 787.7457071538.

The spelling of 488830320 in words is "four hundred eighty-eight million, eight hundred thirty thousand, three hundred twenty".