1315473600 has 672 divisors, whose sum is σ = 5442508800. Its totient is φ = 276971520.

The previous prime is 1315473581. The next prime is 1315473613. The reversal of 1315473600 is 63745131.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27988777 + ... + 27988823.

Almost surely, 2^1315473600 is an apocalyptic number.

1315473600 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 1315473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721254400).

1315473600 is an abundant number, since it is smaller than the sum of its proper divisors (4127035200).

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

1315473600 is a wasteful number, since it uses less digits than its factorization.

1315473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1315473600 is about 36269.4582258958. The cubic root of 1315473600 is about 1095.7060145308.

The spelling of 1315473600 in words is "one billion, three hundred fifteen million, four hundred seventy-three thousand, six hundred".