1315180400 has 60 divisors (see below), whose sum is σ = 3167840400. Its totient is φ = 524720640.

The previous prime is 1315180393. The next prime is 1315180403. The reversal of 1315180400 is 40815131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315180403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159581 + ... + 167619.

It is an arithmetic number, because the mean of its divisors is an integer number (52797340).

Almost surely, 2^1315180400 is an apocalyptic number.

1315180400 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 1315180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583920200).

1315180400 is an abundant number, since it is smaller than the sum of its proper divisors (1852660000).

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

1315180400 is a wasteful number, since it uses less digits than its factorization.

1315180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8466 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1315180400 is about 36265.4160323579. The cubic root of 1315180400 is about 1095.6246028186.

Adding to 1315180400 its reverse (40815131), we get a palindrome (1355995531).

The spelling of 1315180400 in words is "one billion, three hundred fifteen million, one hundred eighty thousand, four hundred".