164464461 has 24 divisors (see below), whose sum is σ = 274195584. Its totient is φ = 93045600.

The previous prime is 164464453. The next prime is 164464463.

164464461 = 84² + 85² + ... + 790².

164464461 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 644 + 6 + 1 = 666.

164464461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164464461 - 2³ = 164464453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164464463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6561 + ... + 19286.

It is an arithmetic number, because the mean of its divisors is an integer number (11424816).

Almost surely, 2^164464461 is an apocalyptic number.

It is an amenable number.

164464461 is a deficient number, since it is larger than the sum of its proper divisors (109731123).

164464461 is a wasteful number, since it uses less digits than its factorization.

164464461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25961 (or 25958 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 164464461 is about 12824.3698090783. The cubic root of 164464461 is about 547.8866125271.

The spelling of 164464461 in words is "one hundred sixty-four million, four hundred sixty-four thousand, four hundred sixty-one".