1317400632 has 256 divisors, whose sum is σ = 3985344000. Its totient is φ = 402361344.

The previous prime is 1317400621. The next prime is 1317400633. The reversal of 1317400632 is 2360047131.

1317400632 is a `hidden beast` number, since 13 + 17 + 4 + 0 + 0 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1317400596 and 1317400605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317400633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18046548 + ... + 18046620.

It is an arithmetic number, because the mean of its divisors is an integer number (15567750).

Almost surely, 2^1317400632 is an apocalyptic number.

1317400632 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 1317400632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992672000).

1317400632 is an abundant number, since it is smaller than the sum of its proper divisors (2667943368).

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

1317400632 is a wasteful number, since it uses less digits than its factorization.

1317400632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1317400632 is about 36296.0139960299. The cubic root of 1317400632 is about 1096.2407852698.

Adding to 1317400632 its reverse (2360047131), we get a palindrome (3677447763).

The spelling of 1317400632 in words is "one billion, three hundred seventeen million, four hundred thousand, six hundred thirty-two".