164424480 has 288 divisors, whose sum is σ = 603288000. Its totient is φ = 37509120.

The previous prime is 164424479. The next prime is 164424509. The reversal of 164424480 is 84424461.

It is a super-3 number, since 3×164424480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 1103446 + ... + 1103594.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 2^164424480 is an apocalyptic number.

164424480 is a gapful number since it is divisible by the number (10) 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 164424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644000).

164424480 is an abundant number, since it is smaller than the sum of its proper divisors (438863520).

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

164424480 is a wasteful number, since it uses less digits than its factorization.

164424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 164424480 is about 12822.8109242865. The cubic root of 164424480 is about 547.8422121953.

The spelling of 164424480 in words is "one hundred sixty-four million, four hundred twenty-four thousand, four hundred eighty".