164000456 has 16 divisors (see below), whose sum is σ = 312091440. Its totient is φ = 80776080.

The previous prime is 164000449. The next prime is 164000461. The reversal of 164000456 is 654000461.

It is a happy number.

164000456 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×164000456² = 53792299136415872, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 152450 + ... + 153521.

It is an arithmetic number, because the mean of its divisors is an integer number (19505715).

Almost surely, 2^164000456 is an apocalyptic number.

It is an amenable number.

164000456 is a deficient number, since it is larger than the sum of its proper divisors (148090984).

164000456 is a wasteful number, since it uses less digits than its factorization.

164000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306044 (or 306040 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 164000456 is about 12806.2662786622. The cubic root of 164000456 is about 547.3708747982.

The spelling of 164000456 in words is "one hundred sixty-four million, four hundred fifty-six", and thus it is an aban number.