488120800 has 72 divisors (see below), whose sum is σ = 1198563912. Its totient is φ = 194112000.

The previous prime is 488120791. The next prime is 488120819. The reversal of 488120800 is 8021884.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143115 + ... + 146485.

It is an arithmetic number, because the mean of its divisors is an integer number (16646721).

Almost surely, 2^488120800 is an apocalyptic number.

488120800 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 488120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599281956).

488120800 is an abundant number, since it is smaller than the sum of its proper divisors (710443112).

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

488120800 is a wasteful number, since it uses less digits than its factorization.

488120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 488120800 is about 22093.4560447206. The cubic root of 488120800 is about 787.3643942198.

The spelling of 488120800 in words is "four hundred eighty-eight million, one hundred twenty thousand, eight hundred".