487990080 has 336 divisors, whose sum is σ = 1797344640. Its totient is φ = 121245696.

The previous prime is 487990073. The next prime is 487990081. The reversal of 487990080 is 80099784.

487990080 is a `hidden beast` number, since 487 + 9 + 90 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487990081) by changing a digit.

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, 3510651 + ... + 3510789.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^487990080 is an apocalyptic number.

487990080 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 487990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

487990080 is an abundant number, since it is smaller than the sum of its proper divisors (1309354560).

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

487990080 is a wasteful number, since it uses less digits than its factorization.

487990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 487990080 is about 22090.4975045833. The cubic root of 487990080 is about 787.2941018777.

The spelling of 487990080 in words is "four hundred eighty-seven million, nine hundred ninety thousand, eighty".