1321463520 has 288 divisors, whose sum is σ = 4927995072. Its totient is φ = 320495616.

The previous prime is 1321463519. The next prime is 1321463527. The reversal of 1321463520 is 253641231.

1321463520 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 635 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321463527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366077 + ... + 1367043.

It is an arithmetic number, because the mean of its divisors is an integer number (17111094).

Almost surely, 2^1321463520 is an apocalyptic number.

1321463520 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 1321463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463997536).

1321463520 is an abundant number, since it is smaller than the sum of its proper divisors (3606531552).

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

1321463520 is a wasteful number, since it uses less digits than its factorization.

1321463520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1321463520 is about 36351.9397006542. The cubic root of 1321463520 is about 1097.3665710563.

The spelling of 1321463520 in words is "one billion, three hundred twenty-one million, four hundred sixty-three thousand, five hundred twenty".