1321412460 has 96 divisors (see below), whose sum is σ = 3773952000. Its totient is φ = 345396480.

The previous prime is 1321412447. The next prime is 1321412461. The reversal of 1321412460 is 642141231.

It is a super-2 number, since 2×1321412460² = 3492261778886503200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1321412460.

It is not an unprimeable number, because it can be changed into a prime (1321412461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705325 + ... + 707195.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^1321412460 is an apocalyptic number.

1321412460 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 1321412460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976000).

1321412460 is an abundant number, since it is smaller than the sum of its proper divisors (2452539540).

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

1321412460 is a wasteful number, since it uses less digits than its factorization.

1321412460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1321412460 is about 36351.2373929692. The cubic root of 1321412460 is about 1097.3524371666.

Adding to 1321412460 its reverse (642141231), we get a palindrome (1963553691).

The spelling of 1321412460 in words is "one billion, three hundred twenty-one million, four hundred twelve thousand, four hundred sixty".