1322550400 has 96 divisors (see below), whose sum is σ = 3287373300. Its totient is φ = 525742080.

The previous prime is 1322550379. The next prime is 1322550421. The reversal of 1322550400 is 40552231.

It is an interprime number because it is at equal distance from previous prime (1322550379) and next prime (1322550421).

It can be written as a sum of positive squares in 6 ways, for example, as 600446016 + 722104384 = 24504^2 + 26872^2 .

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 11 ways as a sum of consecutive naturals, for example, 552406 + ... + 554794.

Almost surely, 2^1322550400 is an apocalyptic number.

1322550400 is a gapful number since it is divisible by the number (10) 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 1322550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643686650).

1322550400 is an abundant number, since it is smaller than the sum of its proper divisors (1964822900).

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

1322550400 is a wasteful number, since it uses less digits than its factorization.

1322550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1322550400 is about 36366.8860366130. The cubic root of 1322550400 is about 1097.6673433735.

The spelling of 1322550400 in words is "one billion, three hundred twenty-two million, five hundred fifty thousand, four hundred".