464456601 has 48 divisors (see below), whose sum is σ = 796856320. Its totient is φ = 255091680.

The previous prime is 464456599. The next prime is 464456611. The reversal of 464456601 is 106654464.

464456601 is a `hidden beast` number, since 4 + 6 + 4 + 45 + 6 + 601 = 666.

It is not a de Polignac number, because 464456601 - 2¹ = 464456599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464456611) 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 47 ways as a sum of consecutive naturals, for example, 317610 + ... + 319068.

Almost surely, 2^464456601 is an apocalyptic number.

It is an amenable number.

464456601 is a deficient number, since it is larger than the sum of its proper divisors (332399719).

464456601 is a wasteful number, since it uses less digits than its factorization.

464456601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 464456601 is about 21551.2552070639. The cubic root of 464456601 is about 774.4291882847.

The spelling of 464456601 in words is "four hundred sixty-four million, four hundred fifty-six thousand, six hundred one".