488316600 has 240 divisors, whose sum is σ = 1737913320. Its totient is φ = 127008000.

The previous prime is 488316599. The next prime is 488316607. The reversal of 488316600 is 6613884.

It is a happy number.

488316600 is a `hidden beast` number, since 48 + 8 + 3 + 1 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488316607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 696250 + ... + 696950.

Almost surely, 2^488316600 is an apocalyptic number.

488316600 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 488316600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868956660).

488316600 is an abundant number, since it is smaller than the sum of its proper divisors (1249596720).

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

488316600 is a wasteful number, since it uses less digits than its factorization.

488316600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 488316600 is about 22097.8867767938. The cubic root of 488316600 is about 787.4696586950.

The spelling of 488316600 in words is "four hundred eighty-eight million, three hundred sixteen thousand, six hundred".