468690561 has 24 divisors (see below), whose sum is σ = 721603584. Its totient is φ = 292118400.

The previous prime is 468690559. The next prime is 468690577. The reversal of 468690561 is 165096864.

468690561 is a `hidden beast` number, since 4 + 6 + 86 + 9 + 0 + 561 = 666.

It is not a de Polignac number, because 468690561 - 2¹ = 468690559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468690361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12960 + ... + 33246.

It is an arithmetic number, because the mean of its divisors is an integer number (30066816).

Almost surely, 2^468690561 is an apocalyptic number.

It is an amenable number.

468690561 is a deficient number, since it is larger than the sum of its proper divisors (252913023).

468690561 is a wasteful number, since it uses less digits than its factorization.

468690561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20461 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 468690561 is about 21649.2623661870. The cubic root of 468690561 is about 776.7752911818.

The spelling of 468690561 in words is "four hundred sixty-eight million, six hundred ninety thousand, five hundred sixty-one".