488345600 has 156 divisors (see below), whose sum is σ = 1279761840. Its totient is φ = 184320000.

The previous prime is 488345567. The next prime is 488345617. The reversal of 488345600 is 6543884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1945475 + ... + 1945725.

Almost surely, 2^488345600 is an apocalyptic number.

488345600 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 488345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639880920).

488345600 is an abundant number, since it is smaller than the sum of its proper divisors (791416240).

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

488345600 is a wasteful number, since it uses less digits than its factorization.

488345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 488345600 is about 22098.5429383930. The cubic root of 488345600 is about 787.4852470571.

The spelling of 488345600 in words is "four hundred eighty-eight million, three hundred forty-five thousand, six hundred".