323406864 has 240 divisors, whose sum is σ = 1068681600. Its totient is φ = 93392640.

The previous prime is 323406857. The next prime is 323406871. The reversal of 323406864 is 468604323.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (323406857) and next prime (323406871).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202122 + ... + 1202390.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^323406864 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 323406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

323406864 is an abundant number, since it is smaller than the sum of its proper divisors (745274736).

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

323406864 is a wasteful number, since it uses less digits than its factorization.

323406864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 323406864 is about 17983.5164525740. The cubic root of 323406864 is about 686.4091714751.

It can be divided in two parts, 32340 and 6864, that added together give a square (39204 = 198²).

The spelling of 323406864 in words is "three hundred twenty-three million, four hundred six thousand, eight hundred sixty-four".