315335020 has 192 divisors, whose sum is σ = 937036800. Its totient is φ = 85847040.

The previous prime is 315334993. The next prime is 315335021. The reversal of 315335020 is 20533513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 315334982 and 315335000.

It is not an unprimeable number, because it can be changed into a prime (315335021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379966 + ... + 380794.

It is an arithmetic number, because the mean of its divisors is an integer number (4880400).

Almost surely, 2^315335020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315335020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468518400).

315335020 is an abundant number, since it is smaller than the sum of its proper divisors (621701780).

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

315335020 is a wasteful number, since it uses less digits than its factorization.

315335020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 315335020 is about 17757.6749604220. The cubic root of 315335020 is about 680.6503437954.

Adding to 315335020 its reverse (20533513), we get a palindrome (335868533).

The spelling of 315335020 in words is "three hundred fifteen million, three hundred thirty-five thousand, twenty".