464606505 has 72 divisors (see below), whose sum is σ = 897886080. Its totient is φ = 220371840.

The previous prime is 464606503. The next prime is 464606531. The reversal of 464606505 is 505606464.

It is a happy number.

464606505 is a `hidden beast` number, since 4 + 646 + 0 + 6 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 464606505 - 2¹ = 464606503 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 464606505.

It is not an unprimeable number, because it can be changed into a prime (464606503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4262391 + ... + 4262499.

It is an arithmetic number, because the mean of its divisors is an integer number (12470640).

Almost surely, 2^464606505 is an apocalyptic number.

464606505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464606505 is a deficient number, since it is larger than the sum of its proper divisors (433279575).

464606505 is a wasteful number, since it uses less digits than its factorization.

464606505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 464606505 is about 21554.7327749615. The cubic root of 464606505 is about 774.5124953476.

The spelling of 464606505 in words is "four hundred sixty-four million, six hundred six thousand, five hundred five".