488553120 has 480 divisors, whose sum is σ = 1975881600. Its totient is φ = 112527360.

The previous prime is 488553077. The next prime is 488553133. The reversal of 488553120 is 21355884.

It is a happy number.

488553120 is a `hidden beast` number, since 4 + 88 + 553 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3278806 + ... + 3278954.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^488553120 is an apocalyptic number.

488553120 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 488553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987940800).

488553120 is an abundant number, since it is smaller than the sum of its proper divisors (1487328480).

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

488553120 is a wasteful number, since it uses less digits than its factorization.

488553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 488553120 is about 22103.2377718741. The cubic root of 488553120 is about 787.5967772220.

The spelling of 488553120 in words is "four hundred eighty-eight million, five hundred fifty-three thousand, one hundred twenty".