164408840 has 32 divisors (see below), whose sum is σ = 370344960. Its totient is φ = 65688000.

The previous prime is 164408833. The next prime is 164408861. The reversal of 164408840 is 48804461.

It is a super-3 number, since 3×164408840³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164408840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44255 + ... + 47825.

It is an arithmetic number, because the mean of its divisors is an integer number (11573280).

Almost surely, 2^164408840 is an apocalyptic number.

164408840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164408840 is an abundant number, since it is smaller than the sum of its proper divisors (205936120).

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

164408840 is a wasteful number, since it uses less digits than its factorization.

164408840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 164408840 is about 12822.2010591006. The cubic root of 164408840 is about 547.8248414569.

The spelling of 164408840 in words is "one hundred sixty-four million, four hundred eight thousand, eight hundred forty".