488034000 has 240 divisors, whose sum is σ = 1795510080. Its totient is φ = 123206400.

The previous prime is 488033989. The next prime is 488034007. The reversal of 488034000 is 430884.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488034007) 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, 341287 + ... + 342713.

It is an arithmetic number, because the mean of its divisors is an integer number (7481292).

Almost surely, 2^488034000 is an apocalyptic number.

488034000 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 488034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897755040).

488034000 is an abundant number, since it is smaller than the sum of its proper divisors (1307476080).

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

488034000 is a wasteful number, since it uses less digits than its factorization.

488034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 488034000 is about 22091.4915748122. The cubic root of 488034000 is about 787.3177204723.

Adding to 488034000 its reverse (430884), we get a palindrome (488464884).

The spelling of 488034000 in words is "four hundred eighty-eight million, thirty-four thousand".