487728001 has 16 divisors (see below), whose sum is σ = 504231120. Its totient is φ = 471582720.

The previous prime is 487727993. The next prime is 487728019. The reversal of 487728001 is 100827784.

It can be written as a sum of positive squares in 8 ways, for example, as 10086976 + 477641025 = 3176^2 + 21855^2 .

It is a cyclic number.

It is not a de Polignac number, because 487728001 - 2³ = 487727993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (487728401) 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 15 ways as a sum of consecutive naturals, for example, 1192285 + ... + 1192693.

It is an arithmetic number, because the mean of its divisors is an integer number (31514445).

Almost surely, 2^487728001 is an apocalyptic number.

It is an amenable number.

487728001 is a deficient number, since it is larger than the sum of its proper divisors (16503119).

487728001 is a wasteful number, since it uses less digits than its factorization.

487728001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756.

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 487728001 is about 22084.5647681814. The cubic root of 487728001 is about 787.1531357611.

The spelling of 487728001 in words is "four hundred eighty-seven million, seven hundred twenty-eight thousand, one".