164456440 has 32 divisors (see below), whose sum is σ = 386117280. Its totient is φ = 62922112.

The previous prime is 164456399. The next prime is 164456441. The reversal of 164456440 is 44654461.

It is a junction number, because it is equal to n+sod(n) for n = 164456396 and 164456405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164456441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88459 + ... + 90298.

It is an arithmetic number, because the mean of its divisors is an integer number (12066165).

Almost surely, 2^164456440 is an apocalyptic number.

164456440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164456440 is an abundant number, since it is smaller than the sum of its proper divisors (221660840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164456440 is a wasteful number, since it uses less digits than its factorization.

164456440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178791 (or 178787 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 164456440 is about 12824.0570803471. The cubic root of 164456440 is about 547.8777054965.

The spelling of 164456440 in words is "one hundred sixty-four million, four hundred fifty-six thousand, four hundred forty".