164463432 has 128 divisors (see below), whose sum is σ = 506511360. Its totient is φ = 43464960.

The previous prime is 164463419. The next prime is 164463443. The reversal of 164463432 is 234364461.

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 = 164463393 and 164463402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119098 + ... + 120470.

It is an arithmetic number, because the mean of its divisors is an integer number (3957120).

Almost surely, 2^164463432 is an apocalyptic number.

164463432 is a gapful number since it is divisible by the number (12) 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 164463432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253255680).

164463432 is an abundant number, since it is smaller than the sum of its proper divisors (342047928).

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

164463432 is a wasteful number, since it uses less digits than its factorization.

164463432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 164463432 is about 12824.3296900852. The cubic root of 164463432 is about 547.8854698760.

The spelling of 164463432 in words is "one hundred sixty-four million, four hundred sixty-three thousand, four hundred thirty-two".