315240000 has 280 divisors, whose sum is σ = 1085502528. Its totient is φ = 80640000.

The previous prime is 315239983. The next prime is 315240007. The reversal of 315240000 is 42513.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315240007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4439965 + ... + 4440035.

Almost surely, 2^315240000 is an apocalyptic number.

315240000 is a gapful number since it is divisible by the number (30) 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 315240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542751264).

315240000 is an abundant number, since it is smaller than the sum of its proper divisors (770262528).

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

315240000 is an equidigital number, since it uses as much as digits as its factorization.

315240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 315240000 is about 17754.9992959730. Note that the first 3 decimals coincide. The cubic root of 315240000 is about 680.5819700670.

Adding to 315240000 its reverse (42513), we get a palindrome (315282513).

The spelling of 315240000 in words is "three hundred fifteen million, two hundred forty thousand".