315203040 has 288 divisors, whose sum is σ = 1162377216. Its totient is φ = 77552640.

The previous prime is 315203033. The next prime is 315203087. The reversal of 315203040 is 40302513.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026567 + ... + 1026873.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^315203040 is an apocalyptic number.

315203040 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 315203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581188608).

315203040 is an abundant number, since it is smaller than the sum of its proper divisors (847174176).

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

315203040 is a wasteful number, since it uses less digits than its factorization.

315203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

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

The square root of 315203040 is about 17753.9584318540. The cubic root of 315203040 is about 680.5553709756. Note that the first 3 decimals are identical.

Adding to 315203040 its reverse (40302513), we get a palindrome (355505553).

The spelling of 315203040 in words is "three hundred fifteen million, two hundred three thousand, forty".