164044400 has 60 divisors (see below), whose sum is σ = 424446792. Its totient is φ = 60568320.

The previous prime is 164044399. The next prime is 164044411. The reversal of 164044400 is 4440461.

164044400 is digitally balanced in base 2, 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10574 + ... + 20973.

Almost surely, 2^164044400 is an apocalyptic number.

164044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164044400 is an abundant number, since it is smaller than the sum of its proper divisors (260402392).

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

164044400 is a wasteful number, since it uses less digits than its factorization.

164044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31578 (or 31567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 164044400 is about 12807.9818863082. The cubic root of 164044400 is about 547.4197598608.

Adding to 164044400 its reverse (4440461), we get a palindrome (168484861).

The spelling of 164044400 in words is "one hundred sixty-four million, forty-four thousand, four hundred".