164512400 has 120 divisors (see below), whose sum is σ = 450924264. Its totient is φ = 57139200.

The previous prime is 164512357. The next prime is 164512423. The reversal of 164512400 is 4215461.

164512400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 110166016 + 54346384 = 10496^2 + 7372^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87470 + ... + 89330.

Almost surely, 2^164512400 is an apocalyptic number.

164512400 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 164512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225462132).

164512400 is an abundant number, since it is smaller than the sum of its proper divisors (286411864).

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

164512400 is a wasteful number, since it uses less digits than its factorization.

164512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 164512400 is about 12826.2387316002. The cubic root of 164512400 is about 547.9398410171.

Adding to 164512400 its reverse (4215461), we get a palindrome (168727861).

The spelling of 164512400 in words is "one hundred sixty-four million, five hundred twelve thousand, four hundred".