164601450 has 192 divisors, whose sum is σ = 498718080. Its totient is φ = 39674880.

The previous prime is 164601431. The next prime is 164601461. The reversal of 164601450 is 54106461.

164601450 is a `hidden beast` number, since 1 + 6 + 4 + 601 + 4 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1456594 + ... + 1456706.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^164601450 is an apocalyptic number.

164601450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164601450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

164601450 is an abundant number, since it is smaller than the sum of its proper divisors (334116630).

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

164601450 is a wasteful number, since it uses less digits than its factorization.

164601450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 164601450 is about 12829.7096615629. The cubic root of 164601450 is about 548.0386891718.

The spelling of 164601450 in words is "one hundred sixty-four million, six hundred one thousand, four hundred fifty".