164429440 has 192 divisors, whose sum is σ = 480983040. Its totient is φ = 52641792.

The previous prime is 164429437. The next prime is 164429467. The reversal of 164429440 is 44924461.

164429440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164429440³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 164429396 and 164429405.

It is a congruent number.

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, 1294657 + ... + 1294783.

It is an arithmetic number, because the mean of its divisors is an integer number (2505120).

Almost surely, 2^164429440 is an apocalyptic number.

164429440 is a gapful number since it is divisible by the number (10) 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 164429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240491520).

164429440 is an abundant number, since it is smaller than the sum of its proper divisors (316553600).

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

164429440 is a wasteful number, since it uses less digits than its factorization.

164429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 164429440 is about 12823.0043281596. The cubic root of 164429440 is about 547.8477208439.

The spelling of 164429440 in words is "one hundred sixty-four million, four hundred twenty-nine thousand, four hundred forty".