164433980 has 24 divisors (see below), whose sum is σ = 363486480. Its totient is φ = 62311680.

The previous prime is 164433953. The next prime is 164433989. The reversal of 164433980 is 89334461.

It is a super-3 number, since 3×164433980³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164433989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215981 + ... + 216740.

It is an arithmetic number, because the mean of its divisors is an integer number (15145270).

Almost surely, 2^164433980 is an apocalyptic number.

164433980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164433980 is an abundant number, since it is smaller than the sum of its proper divisors (199052500).

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

164433980 is a wasteful number, since it uses less digits than its factorization.

164433980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432749 (or 432747 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 164433980 is about 12823.1813525349. The cubic root of 164433980 is about 547.8527629372.

The spelling of 164433980 in words is "one hundred sixty-four million, four hundred thirty-three thousand, nine hundred eighty".