488008000 has 56 divisors (see below), whose sum is σ = 1208571624. Its totient is φ = 195200000.

The previous prime is 488007979. The next prime is 488008007. The reversal of 488008000 is 800884.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 479434816 = 2928^2 + 21896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 488008000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488008007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22501 + ... + 38500.

Almost surely, 2^488008000 is an apocalyptic number.

488008000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488008000 is an abundant number, since it is smaller than the sum of its proper divisors (720563624).

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

488008000 is an equidigital number, since it uses as much as digits as its factorization.

488008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61028 (or 61008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 488008000 is about 22090.9031051245. The cubic root of 488008000 is about 787.3037387796.

Adding to 488008000 its reverse (800884), we get a palindrome (488808884).

The spelling of 488008000 in words is "four hundred eighty-eight million, eight thousand".