164432900 has 36 divisors (see below), whose sum is σ = 369130020. Its totient is φ = 63504000.

The previous prime is 164432899. The next prime is 164432909. The reversal of 164432900 is 9234461.

It can be written as a sum of positive squares in 6 ways, for example, as 541696 + 163891204 = 736^2 + 12802^2 .

It is a super-3 number, since 3×164432900³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (164432909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25451 + ... + 31250.

Almost surely, 2^164432900 is an apocalyptic number.

164432900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164432900 is an abundant number, since it is smaller than the sum of its proper divisors (204697120).

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

164432900 is a wasteful number, since it uses less digits than its factorization.

164432900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56744 (or 56737 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 164432900 is about 12823.1392412311. The cubic root of 164432900 is about 547.8515635050.

The spelling of 164432900 in words is "one hundred sixty-four million, four hundred thirty-two thousand, nine hundred".