315424080 has 120 divisors (see below), whose sum is σ = 1063494432. Its totient is φ = 83780352.

The previous prime is 315424009. The next prime is 315424117. The reversal of 315424080 is 80424513.

315424080 is a `hidden beast` number, since 3 + 1 + 542 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220327 + ... + 221753.

Almost surely, 2^315424080 is an apocalyptic number.

315424080 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 315424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531747216).

315424080 is an abundant number, since it is smaller than the sum of its proper divisors (748070352).

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

315424080 is a wasteful number, since it uses less digits than its factorization.

315424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 315424080 is about 17760.1824314955. The cubic root of 315424080 is about 680.7144164058.

Adding to 315424080 its reverse (80424513), we get a palindrome (395848593).

The spelling of 315424080 in words is "three hundred fifteen million, four hundred twenty-four thousand, eighty".