1315204000 has 192 divisors, whose sum is σ = 3583367424. Its totient is φ = 470400000.

The previous prime is 1315203979. The next prime is 1315204067. The reversal of 1315204000 is 4025131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3123790 + ... + 3124210.

It is an arithmetic number, because the mean of its divisors is an integer number (18663372).

Almost surely, 2^1315204000 is an apocalyptic number.

1315204000 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 1315204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791683712).

1315204000 is an abundant number, since it is smaller than the sum of its proper divisors (2268163424).

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

1315204000 is a wasteful number, since it uses less digits than its factorization.

1315204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1315204000 is about 36265.7414097658. The cubic root of 1315204000 is about 1095.6311561872.

Adding to 1315204000 its reverse (4025131), we get a palindrome (1319229131).

The spelling of 1315204000 in words is "one billion, three hundred fifteen million, two hundred four thousand".