487368000 has 336 divisors, whose sum is σ = 1994513664. Its totient is φ = 111283200.

The previous prime is 487367981. The next prime is 487368023. The reversal of 487368000 is 863784.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 503517 + ... + 504483.

Almost surely, 2^487368000 is an apocalyptic number.

487368000 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 487368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997256832).

487368000 is an abundant number, since it is smaller than the sum of its proper divisors (1507145664).

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

487368000 is a wasteful number, since it uses less digits than its factorization.

487368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 487368000 is about 22076.4127520755. The cubic root of 487368000 is about 786.9594173595.

The spelling of 487368000 in words is "four hundred eighty-seven million, three hundred sixty-eight thousand".