315641424 has 80 divisors (see below), whose sum is σ = 938832768. Its totient is φ = 89511936.

The previous prime is 315641401. The next prime is 315641461. The reversal of 315641424 is 424146513.

It is a junction number, because it is equal to n+sod(n) for n = 315641391 and 315641400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42604 + ... + 49460.

Almost surely, 2^315641424 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 315641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469416384).

315641424 is an abundant number, since it is smaller than the sum of its proper divisors (623191344).

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

315641424 is a wasteful number, since it uses less digits than its factorization.

315641424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 7006 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 315641424 is about 17766.3002338697. The cubic root of 315641424 is about 680.8707300112.

Adding to 315641424 its reverse (424146513), we get a palindrome (739787937).

The spelling of 315641424 in words is "three hundred fifteen million, six hundred forty-one thousand, four hundred twenty-four".