164411484 has 48 divisors (see below), whose sum is σ = 407796480. Its totient is φ = 51408000.

The previous prime is 164411479. The next prime is 164411491. The reversal of 164411484 is 484114461.

It is a happy number.

164411484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164411484³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19984 + ... + 26984.

It is an arithmetic number, because the mean of its divisors is an integer number (8495760).

Almost surely, 2^164411484 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 164411484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203898240).

164411484 is an abundant number, since it is smaller than the sum of its proper divisors (243384996).

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

164411484 is a wasteful number, since it uses less digits than its factorization.

164411484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7128 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 164411484 is about 12822.3041611093. The cubic root of 164411484 is about 547.8277781220.

The spelling of 164411484 in words is "one hundred sixty-four million, four hundred eleven thousand, four hundred eighty-four".