324483840 has 288 divisors, whose sum is σ = 1184702400. Its totient is φ = 84049920.

The previous prime is 324483781. The next prime is 324483869. The reversal of 324483840 is 48384423.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×324483840² = 210579524842291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 324483795 and 324483804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416846 + ... + 1417074.

It is an arithmetic number, because the mean of its divisors is an integer number (4113550).

Almost surely, 2^324483840 is an apocalyptic number.

324483840 is a gapful number since it is divisible by the number (30) 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 324483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592351200).

324483840 is an abundant number, since it is smaller than the sum of its proper divisors (860218560).

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

324483840 is a wasteful number, since it uses less digits than its factorization.

324483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 324483840 is about 18013.4349861430. The cubic root of 324483840 is about 687.1702634759.

It can be divided in two parts, 3244838 and 40, that added together give a triangular number (3244878 = T₂₅₄₇).

The spelling of 324483840 in words is "three hundred twenty-four million, four hundred eighty-three thousand, eight hundred forty".