164385400 has 48 divisors (see below), whose sum is σ = 391537440. Its totient is φ = 64147200.

The previous prime is 164385317. The next prime is 164385421. The reversal of 164385400 is 4583461.

It is a happy number.

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, 1824 + ... + 18223.

It is an arithmetic number, because the mean of its divisors is an integer number (8157030).

Almost surely, 2^164385400 is an apocalyptic number.

164385400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164385400 is an abundant number, since it is smaller than the sum of its proper divisors (227152040).

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

164385400 is a wasteful number, since it uses less digits than its factorization.

164385400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20104 (or 20095 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 164385400 is about 12821.2869868824. The cubic root of 164385400 is about 547.7988054996.

The spelling of 164385400 in words is "one hundred sixty-four million, three hundred eighty-five thousand, four hundred".