481564305 has 32 divisors (see below), whose sum is σ = 857445120. Its totient is φ = 256435200.

The previous prime is 481564301. The next prime is 481564327. The reversal of 481564305 is 503465184.

It is a happy number.

481564305 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 643 + 0 + 5 = 666.

It is not a de Polignac number, because 481564305 - 2² = 481564301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 481564305.

It is not an unprimeable number, because it can be changed into a prime (481564301) 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 31 ways as a sum of consecutive naturals, for example, 97905 + ... + 102705.

It is an arithmetic number, because the mean of its divisors is an integer number (26795160).

Almost surely, 2^481564305 is an apocalyptic number.

481564305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481564305 is a deficient number, since it is larger than the sum of its proper divisors (375880815).

481564305 is a wasteful number, since it uses less digits than its factorization.

481564305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 481564305 is about 21944.5734750074. The cubic root of 481564305 is about 783.8231680048.

The spelling of 481564305 in words is "four hundred eighty-one million, five hundred sixty-four thousand, three hundred five".