164332400 has 60 divisors (see below), whose sum is σ = 396377904. Its totient is φ = 65472000.

The previous prime is 164332393. The next prime is 164332423. The reversal of 164332400 is 4233461.

It is a happy number.

164332400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123740 + ... + 125060.

Almost surely, 2^164332400 is an apocalyptic number.

164332400 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 164332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198188952).

164332400 is an abundant number, since it is smaller than the sum of its proper divisors (232045504).

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

164332400 is a wasteful number, since it uses less digits than its factorization.

164332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 164332400 is about 12819.2199450669. The cubic root of 164332400 is about 547.7399266749.

Adding to 164332400 its reverse (4233461), we get a palindrome (168565861).

It can be divided in two parts, 1643 and 32400, that added together give a palindrome (34043).

The spelling of 164332400 in words is "one hundred sixty-four million, three hundred thirty-two thousand, four hundred".