488838672 has 320 divisors, whose sum is σ = 1750602240. Its totient is φ = 127401984.

The previous prime is 488838671. The next prime is 488838697. The reversal of 488838672 is 276838884.

488838672 is a `hidden beast` number, since 488 + 83 + 86 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488838671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1901968 + ... + 1902224.

It is an arithmetic number, because the mean of its divisors is an integer number (5470632).

Almost surely, 2^488838672 is an apocalyptic number.

488838672 is a gapful number since it is divisible by the number (42) 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 488838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875301120).

488838672 is an abundant number, since it is smaller than the sum of its proper divisors (1261763568).

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

488838672 is a wasteful number, since it uses less digits than its factorization.

488838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 488838672 is about 22109.6963344140. The cubic root of 488838672 is about 787.7501935195.

It can be divided in two parts, 488 and 838672, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 488838672 in words is "four hundred eighty-eight million, eight hundred thirty-eight thousand, six hundred seventy-two".