487516401 has 20 divisors (see below), whose sum is σ = 728867700. Its totient is φ = 324742176.

The previous prime is 487516391. The next prime is 487516427. The reversal of 487516401 is 104615784.

It is a happy number.

487516401 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 1 + 640 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252047376 + 235469025 = 15876^2 + 15345^2 .

It is not a de Polignac number, because 487516401 - 2¹¹ = 487514353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (487516301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 166135 + ... + 169043.

It is an arithmetic number, because the mean of its divisors is an integer number (36443385).

Almost surely, 2^487516401 is an apocalyptic number.

It is an amenable number.

487516401 is a deficient number, since it is larger than the sum of its proper divisors (241351299).

487516401 is a wasteful number, since it uses less digits than its factorization.

487516401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 487516401 is about 22079.7735722086. The cubic root of 487516401 is about 787.0392842588.

The spelling of 487516401 in words is "four hundred eighty-seven million, five hundred sixteen thousand, four hundred one".