315330000 has 200 divisors, whose sum is σ = 1064509248. Its totient is φ = 80256000.

The previous prime is 315329999. The next prime is 315330007. The reversal of 315330000 is 33513.

It is a tau number, because it is divible by the number of its divisors (200).

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 (315330007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689772 + ... + 690228.

Almost surely, 2^315330000 is an apocalyptic number.

315330000 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 315330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532254624).

315330000 is an abundant number, since it is smaller than the sum of its proper divisors (749179248).

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

315330000 is a wasteful number, since it uses less digits than its factorization.

315330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 315330000 is about 17757.5336125263. The cubic root of 315330000 is about 680.6467318878.

Adding to 315330000 its reverse (33513), we get a palindrome (315363513).

It can be divided in two parts, 3153 and 30000, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 315330000 in words is "three hundred fifteen million, three hundred thirty thousand".