324290400 has 288 divisors, whose sum is σ = 1224921600. Its totient is φ = 72990720.

The previous prime is 324290389. The next prime is 324290401. The reversal of 324290400 is 4092423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324290401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629501 + ... + 1629699.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2^324290400 is an apocalyptic number.

324290400 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 324290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612460800).

324290400 is an abundant number, since it is smaller than the sum of its proper divisors (900631200).

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

324290400 is a wasteful number, since it uses less digits than its factorization.

324290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 324290400 is about 18008.0648599454. The cubic root of 324290400 is about 687.0336848828.

The spelling of 324290400 in words is "three hundred twenty-four million, two hundred ninety thousand, four hundred".