165030400 has 60 divisors (see below), whose sum is σ = 408907422. Its totient is φ = 66007040.

The previous prime is 165030389. The next prime is 165030401. The reversal of 165030400 is 4030561.

It can be written as a sum of positive squares in 3 ways, for example, as 129413376 + 35617024 = 11376^2 + 5968^2 .

It is not an unprimeable number, because it can be changed into a prime (165030401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6354 + ... + 19246.

Almost surely, 2^165030400 is an apocalyptic number.

165030400 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 165030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204453711).

165030400 is an abundant number, since it is smaller than the sum of its proper divisors (243877022).

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

165030400 is an equidigital number, since it uses as much as digits as its factorization.

165030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921 (or 12900 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 165030400 is about 12846.4158425609. The cubic root of 165030400 is about 548.5143376433.

Adding to 165030400 its reverse (4030561), we get a palindrome (169060961).

The spelling of 165030400 in words is "one hundred sixty-five million, thirty thousand, four hundred".