1315228400 has 60 divisors (see below), whose sum is σ = 3165672384. Its totient is φ = 525120000.

The previous prime is 1315228399. The next prime is 1315228417. The reversal of 1315228400 is 48225131.

It is a self number, because there is not a number n which added to its sum of digits gives 1315228400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237665 + ... + 243135.

Almost surely, 2^1315228400 is an apocalyptic number.

1315228400 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 1315228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582836192).

1315228400 is an abundant number, since it is smaller than the sum of its proper divisors (1850443984).

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

1315228400 is a wasteful number, since it uses less digits than its factorization.

1315228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1315228400 is about 36266.0778138469. The cubic root of 1315228400 is about 1095.6379316215.

The spelling of 1315228400 in words is "one billion, three hundred fifteen million, two hundred twenty-eight thousand, four hundred".