487340582400 has 1080 divisors, whose sum is σ = 2072261883120. Its totient is φ = 111257763840.

The previous prime is 487340582387. The next prime is 487340582447. The reversal of 487340582400 is 4285043784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 587865186 + ... + 587866014.

Almost surely, 2^487340582400 is an apocalyptic number.

487340582400 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 487340582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036130941560).

487340582400 is an abundant number, since it is smaller than the sum of its proper divisors (1584921300720).

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

487340582400 is an frugal number, since it uses more digits than its factorization.

487340582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 487340582400 in words is "four hundred eighty-seven billion, three hundred forty million, five hundred eighty-two thousand, four hundred".