164004300 has 108 divisors (see below), whose sum is σ = 517935600. Its totient is φ = 43405440.

The previous prime is 164004299. The next prime is 164004319. The reversal of 164004300 is 3400461.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133489 + ... + 134711.

It is an arithmetic number, because the mean of its divisors is an integer number (4795700).

Almost surely, 2^164004300 is an apocalyptic number.

164004300 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 164004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

164004300 is an abundant number, since it is smaller than the sum of its proper divisors (353931300).

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

164004300 is a wasteful number, since it uses less digits than its factorization.

164004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).

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

The square root of 164004300 is about 12806.4163605593. The cubic root of 164004300 is about 547.3751513660.

Adding to 164004300 its reverse (3400461), we get a palindrome (167404761).

The spelling of 164004300 in words is "one hundred sixty-four million, four thousand, three hundred".