1322438400 has 270 divisors, whose sum is σ = 4891574072. Its totient is φ = 352512000.

The previous prime is 1322438387. The next prime is 1322438401. The reversal of 1322438400 is 48342231.

1322438400 is a `hidden beast` number, since 1 + 3 + 224 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322438401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 517125 + ... + 519675.

Almost surely, 2^1322438400 is an apocalyptic number.

1322438400 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 1322438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445787036).

1322438400 is an abundant number, since it is smaller than the sum of its proper divisors (3569135672).

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

1322438400 is an equidigital number, since it uses as much as digits as its factorization.

1322438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1322438400 is about 36365.3461416222. The cubic root of 1322438400 is about 1097.6363572291.

The spelling of 1322438400 in words is "one billion, three hundred twenty-two million, four hundred thirty-eight thousand, four hundred".