168480400 has 135 divisors (see below), whose sum is σ = 452585833. Its totient is φ = 60227200.

The previous prime is 168480397. The next prime is 168480413. The reversal of 168480400 is 4084861.

The square root of 168480400 is 12980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60652944 + 107827456 = 7788^2 + 10384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2855571 + ... + 2855629.

Almost surely, 2^168480400 is an apocalyptic number.

168480400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168480400 is the 12980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168480400

168480400 is an abundant number, since it is smaller than the sum of its proper divisors (284105433).

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

168480400 is a wasteful number, since it uses less digits than its factorization.

168480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The cubic root of 168480400 is about 552.3102820429.

The spelling of 168480400 in words is "one hundred sixty-eight million, four hundred eighty thousand, four hundred".