1326228480 has 264 divisors, whose sum is σ = 4868535672. Its totient is φ = 332660736.

The previous prime is 1326228479. The next prime is 1326228509. The reversal of 1326228480 is 848226231.

It can be written as a sum of positive squares in 4 ways, for example, as 210134016 + 1116094464 = 14496^2 + 33408^2 .

It is a super-2 number, since 2×1326228480² = 3517763962326220800, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782514 + ... + 784206.

It is an arithmetic number, because the mean of its divisors is an integer number (18441423).

Almost surely, 2^1326228480 is an apocalyptic number.

1326228480 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 1326228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434267836).

1326228480 is an abundant number, since it is smaller than the sum of its proper divisors (3542307192).

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

1326228480 is a wasteful number, since it uses less digits than its factorization.

1326228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1326228480 is about 36417.4200074635. The cubic root of 1326228480 is about 1098.6839577928.

The spelling of 1326228480 in words is "one billion, three hundred twenty-six million, two hundred twenty-eight thousand, four hundred eighty".