164431044 has 72 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 52618944.

The previous prime is 164431031. The next prime is 164431049. The reversal of 164431044 is 440134461.

164431044 is a `hidden beast` number, since 1 + 644 + 3 + 10 + 4 + 4 = 666.

It is a super-3 number, since 3×164431044³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164430999 and 164431017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164431049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249187 + ... + 249845.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2^164431044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164431044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

164431044 is an abundant number, since it is smaller than the sum of its proper divisors (268000956).

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

164431044 is a wasteful number, since it uses less digits than its factorization.

164431044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164431044 is about 12823.0668718525. The cubic root of 164431044 is about 547.8495022461.

The spelling of 164431044 in words is "one hundred sixty-four million, four hundred thirty-one thousand, forty-four".