488796048 has 120 divisors (see below), whose sum is σ = 1513206968. Its totient is φ = 146313216.

The previous prime is 488796043. The next prime is 488796083. The reversal of 488796048 is 840697884.

It can be written as a sum of positive squares in 4 ways, for example, as 254338704 + 234457344 = 15948^2 + 15312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 488795985 and 488796003.

It is not an unprimeable number, because it can be changed into a prime (488796041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65736 + ... + 72792.

Almost surely, 2^488796048 is an apocalyptic number.

488796048 is a gapful number since it is divisible by the number (48) 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 488796048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756603484).

488796048 is an abundant number, since it is smaller than the sum of its proper divisors (1024410920).

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

488796048 is a wasteful number, since it uses less digits than its factorization.

488796048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 488796048 is about 22108.7323924281. The cubic root of 488796048 is about 787.7272970493.

The spelling of 488796048 in words is "four hundred eighty-eight million, seven hundred ninety-six thousand, forty-eight".