487048800 has 288 divisors, whose sum is σ = 1849381632. Its totient is φ = 109025280.

The previous prime is 487048789. The next prime is 487048811. The reversal of 487048800 is 8840784.

It is an interprime number because it is at equal distance from previous prime (487048789) and next prime (487048811).

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 47 ways as a sum of consecutive naturals, for example, 890127 + ... + 890673.

It is an arithmetic number, because the mean of its divisors is an integer number (6421464).

Almost surely, 2^487048800 is an apocalyptic number.

487048800 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 487048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924690816).

487048800 is an abundant number, since it is smaller than the sum of its proper divisors (1362332832).

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

487048800 is a wasteful number, since it uses less digits than its factorization.

487048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

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

The square root of 487048800 is about 22069.1821325576. The cubic root of 487048800 is about 786.7875743810.

The spelling of 487048800 in words is "four hundred eighty-seven million, forty-eight thousand, eight hundred".