1322479872 has 216 divisors, whose sum is σ = 4520641216. Its totient is φ = 377726976.

The previous prime is 1322479849. The next prime is 1322479877. The reversal of 1322479872 is 2789742231.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1322479877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433938 + ... + 436974.

Almost surely, 2^1322479872 is an apocalyptic number.

1322479872 is a gapful number since it is divisible by the number (12) 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 1322479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260320608).

1322479872 is an abundant number, since it is smaller than the sum of its proper divisors (3198161344).

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

1322479872 is an frugal number, since it uses more digits than its factorization.

1322479872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3049 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1322479872 is about 36365.9163503410. The cubic root of 1322479872 is about 1097.6478311597.

It can be divided in two parts, 13224 and 79872, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 1322479872 in words is "one billion, three hundred twenty-two million, four hundred seventy-nine thousand, eight hundred seventy-two".