322993440 has 384 divisors, whose sum is σ = 1410877440. Its totient is φ = 67046400.

The previous prime is 322993427. The next prime is 322993459. The reversal of 322993440 is 44399223.

322993440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 322993395 and 322993404.

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 63 ways as a sum of consecutive naturals, for example, 332155 + ... + 333125.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^322993440 is an apocalyptic number.

322993440 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 322993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705438720).

322993440 is an abundant number, since it is smaller than the sum of its proper divisors (1087884000).

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

322993440 is a wasteful number, since it uses less digits than its factorization.

322993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 322993440 is about 17972.0182506028. The cubic root of 322993440 is about 686.1165586041.

It can be divided in two parts, 3229 and 93440, that added together give a palindrome (96669).

The spelling of 322993440 in words is "three hundred twenty-two million, nine hundred ninety-three thousand, four hundred forty".