487971000 has 512 divisors, whose sum is σ = 1940889600. Its totient is φ = 112320000.

The previous prime is 487970963. The next prime is 487971017. The reversal of 487971000 is 179784.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9206974 + ... + 9207026.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2^487971000 is an apocalyptic number.

487971000 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 487971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970444800).

487971000 is an abundant number, since it is smaller than the sum of its proper divisors (1452918600).

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

487971000 is a wasteful number, since it uses less digits than its factorization.

487971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 487971000 is about 22090.0656404638. The cubic root of 487971000 is about 787.2838408992.

The spelling of 487971000 in words is "four hundred eighty-seven million, nine hundred seventy-one thousand".