488241072 has 240 divisors, whose sum is σ = 1573518336. Its totient is φ = 139968000.

The previous prime is 488241059. The next prime is 488241073. The reversal of 488241072 is 270142884.

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

It is not an unprimeable number, because it can be changed into a prime (488241073) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2995263 + ... + 2995425.

Almost surely, 2^488241072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488241072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786759168).

488241072 is an abundant number, since it is smaller than the sum of its proper divisors (1085277264).

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

488241072 is a wasteful number, since it uses less digits than its factorization.

488241072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 488241072 is about 22096.1777690170. The cubic root of 488241072 is about 787.4290572525.

It can be divided in two parts, 4882 and 41072, that added together give a palindrome (45954).

The spelling of 488241072 in words is "four hundred eighty-eight million, two hundred forty-one thousand, seventy-two".