322274880 has 168 divisors, whose sum is σ = 1115138232. Its totient is φ = 85426176.

The previous prime is 322274879. The next prime is 322274923. The reversal of 322274880 is 88472223.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 322274304 = 24^2 + 17952^2 .

It is a super-2 number, since 2×322274880² = 207722196558028800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 912784 + ... + 913136.

Almost surely, 2^322274880 is an apocalyptic number.

322274880 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 322274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557569116).

322274880 is an abundant number, since it is smaller than the sum of its proper divisors (792863352).

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

322274880 is a wasteful number, since it uses less digits than its factorization.

322274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 322274880 is about 17952.0160427736. The cubic root of 322274880 is about 685.6073821440.

The spelling of 322274880 in words is "three hundred twenty-two million, two hundred seventy-four thousand, eight hundred eighty".