487804800 has 576 divisors, whose sum is σ = 2011411440. Its totient is φ = 103219200.

The previous prime is 487804799. The next prime is 487804819. The reversal of 487804800 is 8408784.

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 71 ways as a sum of consecutive naturals, for example, 7996770 + ... + 7996830.

Almost surely, 2^487804800 is an apocalyptic number.

487804800 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 487804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005705720).

487804800 is an abundant number, since it is smaller than the sum of its proper divisors (1523606640).

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

487804800 is a wasteful number, since it uses less digits than its factorization.

487804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 487804800 is about 22086.3034480648. The cubic root of 487804800 is about 787.1944493627.

The spelling of 487804800 in words is "four hundred eighty-seven million, eight hundred four thousand, eight hundred".