315678480 has 240 divisors, whose sum is σ = 1090305216. Its totient is φ = 75479040.

The previous prime is 315678469. The next prime is 315678481. The reversal of 315678480 is 84876513.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×315678480² = 199305805470220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315678481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1743990 + ... + 1744170.

Almost surely, 2^315678480 is an apocalyptic number.

315678480 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 315678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545152608).

315678480 is an abundant number, since it is smaller than the sum of its proper divisors (774626736).

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

315678480 is a wasteful number, since it uses less digits than its factorization.

315678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 315678480 is about 17767.3430765548. The cubic root of 315678480 is about 680.8973734918.

The spelling of 315678480 in words is "three hundred fifteen million, six hundred seventy-eight thousand, four hundred eighty".