164480274 has 64 divisors (see below), whose sum is σ = 427956480. Its totient is φ = 45843840.

The previous prime is 164480273. The next prime is 164480279. The reversal of 164480274 is 472084461.

164480274 is a `hidden beast` number, since 1 + 644 + 8 + 0 + 2 + 7 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164480273) 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 31 ways as a sum of consecutive naturals, for example, 10192 + ... + 20804.

It is an arithmetic number, because the mean of its divisors is an integer number (6686820).

Almost surely, 2^164480274 is an apocalyptic number.

164480274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164480274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213978240).

164480274 is an abundant number, since it is smaller than the sum of its proper divisors (263476206).

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

164480274 is a wasteful number, since it uses less digits than its factorization.

164480274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 164480274 is about 12824.9863157822. The cubic root of 164480274 is about 547.9041714439.

It can be divided in two parts, 1644 and 80274, that added together give a palindrome (81918).

The spelling of 164480274 in words is "one hundred sixty-four million, four hundred eighty thousand, two hundred seventy-four".