487668720 has 240 divisors, whose sum is σ = 1899878400. Its totient is φ = 101291520.

The previous prime is 487668707. The next prime is 487668721. The reversal of 487668720 is 27866784.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 487668720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487668721) 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, 202081 + ... + 204479.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2^487668720 is an apocalyptic number.

487668720 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 487668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

487668720 is an abundant number, since it is smaller than the sum of its proper divisors (1412209680).

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

487668720 is a wasteful number, since it uses less digits than its factorization.

487668720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 487668720 is about 22083.2225909173. Note that the first 3 decimals coincide. The cubic root of 487668720 is about 787.1212429058.

The spelling of 487668720 in words is "four hundred eighty-seven million, six hundred sixty-eight thousand, seven hundred twenty".