164400300 has 72 divisors (see below), whose sum is σ = 528525200. Its totient is φ = 43839360.

The previous prime is 164400281. The next prime is 164400317. The reversal of 164400300 is 3004461.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 27745 + ... + 33144.

Almost surely, 2^164400300 is an apocalyptic number.

164400300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164400300 is an abundant number, since it is smaller than the sum of its proper divisors (364124900).

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

164400300 is a wasteful number, since it uses less digits than its factorization.

164400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60912 (or 60899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 164400300 is about 12821.8680386284. The cubic root of 164400300 is about 547.8153559468.

Adding to 164400300 its reverse (3004461), we get a palindrome (167404761).

The spelling of 164400300 in words is "one hundred sixty-four million, four hundred thousand, three hundred".