164358400 has 108 divisors (see below), whose sum is σ = 414463924. Its totient is φ = 64512000.

The previous prime is 164358361. The next prime is 164358401. The reversal of 164358400 is 4853461.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 84934656 + 79423744 = 9216^2 + 8912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164358401) 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, 390190 + ... + 390610.

Almost surely, 2^164358400 is an apocalyptic number.

164358400 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 164358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207231962).

164358400 is an abundant number, since it is smaller than the sum of its proper divisors (250105524).

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

164358400 is an equidigital number, since it uses as much as digits as its factorization.

164358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 164358400 is about 12820.2340072247. The cubic root of 164358400 is about 547.7688122083.

The spelling of 164358400 in words is "one hundred sixty-four million, three hundred fifty-eight thousand, four hundred".