323996400 has 720 divisors, whose sum is σ = 1477572096. Its totient is φ = 63866880.

The previous prime is 323996363. The next prime is 323996429. The reversal of 323996400 is 4699323.

It is a happy number.

323996400 is a `hidden beast` number, since 3 + 2 + 3 + 9 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7534779 + ... + 7534821.

Almost surely, 2^323996400 is an apocalyptic number.

323996400 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 323996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738786048).

323996400 is an abundant number, since it is smaller than the sum of its proper divisors (1153575696).

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

323996400 is a wasteful number, since it uses less digits than its factorization.

323996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 323996400 is about 17999.8999997222. The cubic root of 323996400 is about 686.8260017131.

The spelling of 323996400 in words is "three hundred twenty-three million, nine hundred ninety-six thousand, four hundred".