464306561 has 16 divisors (see below), whose sum is σ = 500932608. Its totient is φ = 429483600.

The previous prime is 464306551. The next prime is 464306573. The reversal of 464306561 is 165603464.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-464306561 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (464306551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58946 + ... + 66356.

It is an arithmetic number, because the mean of its divisors is an integer number (31308288).

Almost surely, 2^464306561 is an apocalyptic number.

It is an amenable number.

464306561 is a deficient number, since it is larger than the sum of its proper divisors (36626047).

464306561 is a wasteful number, since it uses less digits than its factorization.

464306561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532.

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 464306561 is about 21547.7739221480. The cubic root of 464306561 is about 774.3457876903.

The spelling of 464306561 in words is "four hundred sixty-four million, three hundred six thousand, five hundred sixty-one".