487944000 has 336 divisors, whose sum is σ = 1817315136. Its totient is φ = 129600000.

The previous prime is 487943977. The next prime is 487944001. The reversal of 487944000 is 449784.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487944001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943875 + ... + 1944125.

It is an arithmetic number, because the mean of its divisors is an integer number (5408676).

Almost surely, 2^487944000 is an apocalyptic number.

487944000 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 487944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908657568).

487944000 is an abundant number, since it is smaller than the sum of its proper divisors (1329371136).

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

487944000 is an equidigital number, since it uses as much as digits as its factorization.

487944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 261 counting only the distinct ones).

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

The square root of 487944000 is about 22089.4544975651. The cubic root of 487944000 is about 787.2693201894.

The spelling of 487944000 in words is "four hundred eighty-seven million, nine hundred forty-four thousand".