1317452400 has 720 divisors, whose sum is σ = 5612855040. Its totient is φ = 282009600.

The previous prime is 1317452387. The next prime is 1317452413. The reversal of 1317452400 is 42547131.

1317452400 is a `hidden beast` number, since 131 + 7 + 4 + 524 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1317452387) and next prime (1317452413).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12790749 + ... + 12790851.

It is an arithmetic number, because the mean of its divisors is an integer number (7795632).

Almost surely, 2^1317452400 is an apocalyptic number.

1317452400 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 1317452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806427520).

1317452400 is an abundant number, since it is smaller than the sum of its proper divisors (4295402640).

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

1317452400 is a wasteful number, since it uses less digits than its factorization.

1317452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1317452400 is about 36296.7271251831. The cubic root of 1317452400 is about 1096.2551442148.

Adding to 1317452400 its reverse (42547131), we get a palindrome (1359999531).

The spelling of 1317452400 in words is "one billion, three hundred seventeen million, four hundred fifty-two thousand, four hundred".