164424414 has 64 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 42561120.

The previous prime is 164424383. The next prime is 164424431. The reversal of 164424414 is 414424461.

It is a super-3 number, since 3×164424414³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 220927 + ... + 221669.

It is an arithmetic number, because the mean of its divisors is an integer number (6428160).

Almost surely, 2^164424414 is an apocalyptic number.

164424414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164424414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

164424414 is an abundant number, since it is smaller than the sum of its proper divisors (246977826).

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

164424414 is a wasteful number, since it uses less digits than its factorization.

164424414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its digits is 12288, while the sum is 30.

The square root of 164424414 is about 12822.8083507475. The cubic root of 164424414 is about 547.8421388940.

Adding to 164424414 its reverse (414424461), we get a palindrome (578848875).

The spelling of 164424414 in words is "one hundred sixty-four million, four hundred twenty-four thousand, four hundred fourteen".