164446464 has 216 divisors, whose sum is σ = 544619712. Its totient is φ = 43130880.

The previous prime is 164446459. The next prime is 164446519. The reversal of 164446464 is 464644461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908454 + ... + 908634.

Almost surely, 2^164446464 is an apocalyptic number.

164446464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272309856).

164446464 is an abundant number, since it is smaller than the sum of its proper divisors (380173248).

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

164446464 is a wasteful number, since it uses less digits than its factorization.

164446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 164446464 is about 12823.6681179762. The cubic root of 164446464 is about 547.8666271049.

The spelling of 164446464 in words is "one hundred sixty-four million, four hundred forty-six thousand, four hundred sixty-four".