488275200 has 486 divisors, whose sum is σ = 2042443494. Its totient is φ = 110960640.

The previous prime is 488275189. The next prime is 488275213. The reversal of 488275200 is 2572884.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 108493056 + 379782144 = 10416^2 + 19488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822314 + ... + 2822486.

Almost surely, 2^488275200 is an apocalyptic number.

488275200 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 488275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021221747).

488275200 is an abundant number, since it is smaller than the sum of its proper divisors (1554168294).

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

488275200 is a wasteful number, since it uses less digits than its factorization.

488275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 488275200 is about 22096.9500157827. The cubic root of 488275200 is about 787.4474038947.

The spelling of 488275200 in words is "four hundred eighty-eight million, two hundred seventy-five thousand, two hundred".