323220456 has 320 divisors, whose sum is σ = 1077587280. Its totient is φ = 89579520.

The previous prime is 323220451. The next prime is 323220463. The reversal of 323220456 is 654022323.

It can be written as a sum of positive squares in 8 ways, for example, as 122544900 + 200675556 = 11070^2 + 14166^2 .

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

It is not an unprimeable number, because it can be changed into a prime (323220451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5298666 + ... + 5298726.

Almost surely, 2^323220456 is an apocalyptic number.

323220456 is a gapful number since it is divisible by the number (36) 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 323220456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538793640).

323220456 is an abundant number, since it is smaller than the sum of its proper divisors (754366824).

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

323220456 is a wasteful number, since it uses less digits than its factorization.

323220456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 323220456 is about 17978.3329594265. The cubic root of 323220456 is about 686.2772666762.

Adding to 323220456 its reverse (654022323), we get a palindrome (977242779).

The spelling of 323220456 in words is "three hundred twenty-three million, two hundred twenty thousand, four hundred fifty-six".