322850400 has 288 divisors, whose sum is σ = 1145739168. Its totient is φ = 78643200.

The previous prime is 322850393. The next prime is 322850431. The reversal of 322850400 is 4058223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672704 + ... + 1672896.

It is an arithmetic number, because the mean of its divisors is an integer number (3978261).

Almost surely, 2^322850400 is an apocalyptic number.

322850400 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 322850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572869584).

322850400 is an abundant number, since it is smaller than the sum of its proper divisors (822888768).

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

322850400 is a wasteful number, since it uses less digits than its factorization.

322850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 322850400 is about 17968.0382902531. The cubic root of 322850400 is about 686.0152597421.

It can be divided in two parts, 3228 and 50400, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 322850400 in words is "three hundred twenty-two million, eight hundred fifty thousand, four hundred".