324419040 has 192 divisors, whose sum is σ = 1238872320. Its totient is φ = 78635520.

The previous prime is 324419021. The next prime is 324419057. The reversal of 324419040 is 40914423.

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

It is a junction number, because it is equal to n+sod(n) for n = 324418995 and 324419013.

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, 44107 + ... + 50933.

It is an arithmetic number, because the mean of its divisors is an integer number (6452460).

Almost surely, 2^324419040 is an apocalyptic number.

324419040 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 324419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619436160).

324419040 is an abundant number, since it is smaller than the sum of its proper divisors (914453280).

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

324419040 is a wasteful number, since it uses less digits than its factorization.

324419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 324419040 is about 18011.6362388318. The cubic root of 324419040 is about 687.1245173893.

The spelling of 324419040 in words is "three hundred twenty-four million, four hundred nineteen thousand, forty".