488136000 has 336 divisors, whose sum is σ = 1800197568. Its totient is φ = 115584000.

The previous prime is 488135987. The next prime is 488136007. The reversal of 488136000 is 631884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488136007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11351979 + ... + 11352021.

Almost surely, 2^488136000 is an apocalyptic number.

488136000 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 488136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900098784).

488136000 is an abundant number, since it is smaller than the sum of its proper divisors (1312061568).

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

488136000 is a wasteful number, since it uses less digits than its factorization.

488136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 488136000 is about 22093.8000353040. The cubic root of 488136000 is about 787.3725669335.

Adding to 488136000 its reverse (631884), we get a palindrome (488767884).

The spelling of 488136000 in words is "four hundred eighty-eight million, one hundred thirty-six thousand".