164040400 has 60 divisors (see below), whose sum is σ = 395482252. Its totient is φ = 65387520.

The previous prime is 164040391. The next prime is 164040403. The reversal of 164040400 is 4040461.

It can be written as a sum of positive squares in 6 ways, for example, as 9585216 + 154455184 = 3096^2 + 12428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164040403) by changing a digit.

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, 158284 + ... + 159316.

Almost surely, 2^164040400 is an apocalyptic number.

164040400 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 164040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197741126).

164040400 is an abundant number, since it is smaller than the sum of its proper divisors (231441852).

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

164040400 is a wasteful number, since it uses less digits than its factorization.

164040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 164040400 is about 12807.8257327308. The cubic root of 164040400 is about 547.4153104621.

Adding to 164040400 its reverse (4040461), we get a palindrome (168080861).

The spelling of 164040400 in words is "one hundred sixty-four million, forty thousand, four hundred".