164379300 has 72 divisors (see below), whose sum is σ = 477219456. Its totient is φ = 43685760.

The previous prime is 164379287. The next prime is 164379301. The reversal of 164379300 is 3973461.

It is not an unprimeable number, because it can be changed into a prime (164379301) 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 23 ways as a sum of consecutive naturals, for example, 109354 + ... + 110846.

It is an arithmetic number, because the mean of its divisors is an integer number (6628048).

Almost surely, 2^164379300 is an apocalyptic number.

164379300 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 164379300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238609728).

164379300 is an abundant number, since it is smaller than the sum of its proper divisors (312840156).

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

164379300 is a wasteful number, since it uses less digits than its factorization.

164379300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 164379300 is about 12821.0490990402. The cubic root of 164379300 is about 547.7920295247.

The spelling of 164379300 in words is "one hundred sixty-four million, three hundred seventy-nine thousand, three hundred".