488410000 has 225 divisors, whose sum is σ = 1360198191. Its totient is φ = 169728000.

The previous prime is 488409997. The next prime is 488410007. The reversal of 488410000 is 14884.

The square root of 488410000 is 22100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 421563024 + 66846976 = 20532^2 + 8176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488410007) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 28729992 + ... + 28730008.

Almost surely, 2^488410000 is an apocalyptic number.

488410000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

488410000 is the 22100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488410000

488410000 is an abundant number, since it is smaller than the sum of its proper divisors (871788191).

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

488410000 is a wasteful number, since it uses less digits than its factorization.

488410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The cubic root of 488410000 is about 787.5198617650.

Multiplying 488410000 by its sum of digits (25), we get a square (12210250000 = 110500²).

488410000 divided by its sum of digits (25) gives a square (19536400 = 4420²).

Multiplying 488410000 by its product of nonzero digits (1024), we get a square (500131840000 = 707200²).

Adding to 488410000 its reverse (14884), we get a palindrome (488424884).

Multiplying 488410000 by its reverse (14884), we get a square (7269494440000 = 2696200²).

It can be divided in two parts, 4884 and 10000, that added together give a square (14884 = 122²).

The spelling of 488410000 in words is "four hundred eighty-eight million, four hundred ten thousand".