487604800 has 84 divisors (see below), whose sum is σ = 1229241636. Its totient is φ = 190259200.

The previous prime is 487604779. The next prime is 487604801. The reversal of 487604800 is 8406784.

It can be written as a sum of positive squares in 6 ways, for example, as 199148544 + 288456256 = 14112^2 + 16984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 487604800.

It is not an unprimeable number, because it can be changed into a prime (487604801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61884 + ... + 69316.

It is an arithmetic number, because the mean of its divisors is an integer number (14633829).

Almost surely, 2^487604800 is an apocalyptic number.

487604800 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 487604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614620818).

487604800 is an abundant number, since it is smaller than the sum of its proper divisors (741636836).

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

487604800 is a wasteful number, since it uses less digits than its factorization.

487604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7496 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 487604800 is about 22081.7752909498. The cubic root of 487604800 is about 787.0868513976.

The spelling of 487604800 in words is "four hundred eighty-seven million, six hundred four thousand, eight hundred".