164407404 has 96 divisors (see below), whose sum is σ = 468357120. Its totient is φ = 43864128.

The previous prime is 164407367. The next prime is 164407421. The reversal of 164407404 is 404704461.

It is a super-3 number, since 3×164407404³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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, 82087 + ... + 84065.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^164407404 is an apocalyptic number.

164407404 is a gapful number since it is divisible by the number (14) 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 164407404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234178560).

164407404 is an abundant number, since it is smaller than the sum of its proper divisors (303949716).

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

164407404 is a wasteful number, since it uses less digits than its factorization.

164407404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 164407404 is about 12822.1450623521. The cubic root of 164407404 is about 547.8232464924.

The spelling of 164407404 in words is "one hundred sixty-four million, four hundred seven thousand, four hundred four".