164200410 has 96 divisors (see below), whose sum is σ = 473541120. Its totient is φ = 39139200.

The previous prime is 164200403. The next prime is 164200417. The reversal of 164200410 is 14002461.

It is an interprime number because it is at equal distance from previous prime (164200403) and next prime (164200417).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (164200417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59031 + ... + 61749.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^164200410 is an apocalyptic number.

164200410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164200410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

164200410 is an abundant number, since it is smaller than the sum of its proper divisors (309340710).

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

164200410 is a wasteful number, since it uses less digits than its factorization.

164200410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 164200410 is about 12814.0707817617. The cubic root of 164200410 is about 547.5932411411.

Adding to 164200410 its reverse (14002461), we get a palindrome (178202871).

The spelling of 164200410 in words is "one hundred sixty-four million, two hundred thousand, four hundred ten".