164448300 has 144 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 42128640.

The previous prime is 164448257. The next prime is 164448307. The reversal of 164448300 is 3844461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (164448307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508646 + ... + 1508754.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2^164448300 is an apocalyptic number.

164448300 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 164448300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

164448300 is an abundant number, since it is smaller than the sum of its proper divisors (330520020).

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

164448300 is a wasteful number, since it uses less digits than its factorization.

164448300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 164448300 is about 12823.7397041581. The cubic root of 164448300 is about 547.8686660246.

The spelling of 164448300 in words is "one hundred sixty-four million, four hundred forty-eight thousand, three hundred".