322775040 has 384 divisors, whose sum is σ = 1257984000. Its totient is φ = 69009408.

The previous prime is 322775027. The next prime is 322775041. The reversal of 322775040 is 40577223.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 322774989 and 322775007.

It is not an unprimeable number, because it can be changed into a prime (322775041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085721 + ... + 4085799.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^322775040 is an apocalyptic number.

322775040 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 322775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

322775040 is an abundant number, since it is smaller than the sum of its proper divisors (935208960).

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

322775040 is a wasteful number, since it uses less digits than its factorization.

322775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 322775040 is about 17965.9411108909. The cubic root of 322775040 is about 685.9618788439.

The spelling of 322775040 in words is "three hundred twenty-two million, seven hundred seventy-five thousand, forty".