488634120 has 224 divisors, whose sum is σ = 1776562200. Its totient is φ = 120185856.

The previous prime is 488634101. The next prime is 488634131. The reversal of 488634120 is 21436884.

488634120 is a `hidden beast` number, since 4 + 8 + 8 + 634 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 380016036 + 108618084 = 19494^2 + 10422^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 378436 + ... + 379724.

Almost surely, 2^488634120 is an apocalyptic number.

488634120 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 488634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888281100).

488634120 is an abundant number, since it is smaller than the sum of its proper divisors (1287928080).

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

488634120 is a wasteful number, since it uses less digits than its factorization.

488634120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

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

The square root of 488634120 is about 22105.0700066749. The cubic root of 488634120 is about 787.6403015329.

The spelling of 488634120 in words is "four hundred eighty-eight million, six hundred thirty-four thousand, one hundred twenty".