322678400 has 192 divisors, whose sum is σ = 887889600. Its totient is φ = 114892800.

The previous prime is 322678399. The next prime is 322678403. The reversal of 322678400 is 4876223.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (322678403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132749 + ... + 3132851.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^322678400 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 322678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443944800).

322678400 is an abundant number, since it is smaller than the sum of its proper divisors (565211200).

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

322678400 is a wasteful number, since it uses less digits than its factorization.

322678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 322678400 is about 17963.2513760733. The cubic root of 322678400 is about 685.8934121981.

The spelling of 322678400 in words is "three hundred twenty-two million, six hundred seventy-eight thousand, four hundred".