488241600 has 336 divisors, whose sum is σ = 1998610176. Its totient is φ = 101376000.

The previous prime is 488241587. The next prime is 488241601. The reversal of 488241600 is 6142884.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488241601) 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, 368940 + ... + 370260.

Almost surely, 2^488241600 is an apocalyptic number.

488241600 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 488241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999305088).

488241600 is an abundant number, since it is smaller than the sum of its proper divisors (1510368576).

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

488241600 is a wasteful number, since it uses less digits than its factorization.

488241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 488241600 is about 22096.1897167815. The cubic root of 488241600 is about 787.4293411030.

The spelling of 488241600 in words is "four hundred eighty-eight million, two hundred forty-one thousand, six hundred".