164205448 has 128 divisors (see below), whose sum is σ = 384912000. Its totient is φ = 64696320.

The previous prime is 164205427. The next prime is 164205469. The reversal of 164205448 is 844502461.

It is an interprime number because it is at equal distance from previous prime (164205427) and next prime (164205469).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1506418 + ... + 1506526.

It is an arithmetic number, because the mean of its divisors is an integer number (3007125).

Almost surely, 2^164205448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164205448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192456000).

164205448 is an abundant number, since it is smaller than the sum of its proper divisors (220706552).

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

164205448 is a wasteful number, since it uses less digits than its factorization.

164205448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 164205448 is about 12814.2673610316. The cubic root of 164205448 is about 547.5988415058.

The spelling of 164205448 in words is "one hundred sixty-four million, two hundred five thousand, four hundred forty-eight".