324450144 has 192 divisors, whose sum is σ = 1023321600. Its totient is φ = 99703296.

The previous prime is 324450131. The next prime is 324450211. The reversal of 324450144 is 441054423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576007 + ... + 576569.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^324450144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511660800).

324450144 is an abundant number, since it is smaller than the sum of its proper divisors (698871456).

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

324450144 is a wasteful number, since it uses less digits than its factorization.

324450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 324450144 is about 18012.4996599584. The cubic root of 324450144 is about 687.1464762710.

The spelling of 324450144 in words is "three hundred twenty-four million, four hundred fifty thousand, one hundred forty-four".