164431944 has 80 divisors (see below), whose sum is σ = 470448000. Its totient is φ = 53634528.

The previous prime is 164431933. The next prime is 164431951. The reversal of 164431944 is 449134461.

It is a happy number.

164431944 is a `hidden beast` number, since 1 + 644 + 3 + 1 + 9 + 4 + 4 = 666.

It is a super-3 number, since 3×164431944³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 164431899 and 164431908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27757 + ... + 33155.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2^164431944 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 164431944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224000).

164431944 is an abundant number, since it is smaller than the sum of its proper divisors (306016056).

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

164431944 is a wasteful number, since it uses less digits than its factorization.

164431944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5451 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 164431944 is about 12823.1019648134. The cubic root of 164431944 is about 547.8505017809.

The spelling of 164431944 in words is "one hundred sixty-four million, four hundred thirty-one thousand, nine hundred forty-four".