487220800 has 336 divisors, whose sum is σ = 1451335680. Its totient is φ = 158976000.

The previous prime is 487220779. The next prime is 487220801. The reversal of 487220800 is 8022784.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487220801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10366377 + ... + 10366423.

Almost surely, 2^487220800 is an apocalyptic number.

487220800 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 487220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725667840).

487220800 is an abundant number, since it is smaller than the sum of its proper divisors (964114880).

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

487220800 is a wasteful number, since it uses less digits than its factorization.

487220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 487220800 is about 22073.0786253300. The cubic root of 487220800 is about 786.8801808000.

The spelling of 487220800 in words is "four hundred eighty-seven million, two hundred twenty thousand, eight hundred".