315606480 has 80 divisors (see below), whose sum is σ = 1118154624. Its totient is φ = 72138240.

The previous prime is 315606469. The next prime is 315606481. The reversal of 315606480 is 84606513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315606481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92251 + ... + 95610.

Almost surely, 2^315606480 is an apocalyptic number.

315606480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315606480 is an abundant number, since it is smaller than the sum of its proper divisors (802548144).

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

315606480 is a wasteful number, since it uses less digits than its factorization.

315606480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187884 (or 187878 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 315606480 is about 17765.3167717325. The cubic root of 315606480 is about 680.8456031604.

Adding to 315606480 its sum of digits (33), we get a palindrome (315606513).

The spelling of 315606480 in words is "three hundred fifteen million, six hundred six thousand, four hundred eighty".