324106400 has 72 divisors (see below), whose sum is σ = 796761504. Its totient is φ = 128736000.

The previous prime is 324106399. The next prime is 324106417. The reversal of 324106400 is 4601423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119459 + ... + 122141.

It is an arithmetic number, because the mean of its divisors is an integer number (11066132).

Almost surely, 2^324106400 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 324106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398380752).

324106400 is an abundant number, since it is smaller than the sum of its proper divisors (472655104).

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

324106400 is a wasteful number, since it uses less digits than its factorization.

324106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 324106400 is about 18002.9553129479. The cubic root of 324106400 is about 686.9037210044.

Adding to 324106400 its reverse (4601423), we get a palindrome (328707823).

The spelling of 324106400 in words is "three hundred twenty-four million, one hundred six thousand, four hundred".