315023040 has 336 divisors, whose sum is σ = 1184513760. Its totient is φ = 78796800.

The previous prime is 315023029. The next prime is 315023041. The reversal of 315023040 is 40320513.

315023040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (315023041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3118990 + ... + 3119090.

Almost surely, 2^315023040 is an apocalyptic number.

315023040 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 315023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592256880).

315023040 is an abundant number, since it is smaller than the sum of its proper divisors (869490720).

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

315023040 is a wasteful number, since it uses less digits than its factorization.

315023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 315023040 is about 17748.8884158981. Note that the first 3 decimals coincide. The cubic root of 315023040 is about 680.4258002155.

Adding to 315023040 its reverse (40320513), we get a palindrome (355343553).

The spelling of 315023040 in words is "three hundred fifteen million, twenty-three thousand, forty".