315499560 has 96 divisors (see below), whose sum is σ = 999073440. Its totient is φ = 79694208.

The previous prime is 315499553. The next prime is 315499567. The reversal of 315499560 is 65994513.

It is an interprime number because it is at equal distance from previous prime (315499553) and next prime (315499567).

It is not an unprimeable number, because it can be changed into a prime (315499567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39679 + ... + 46961.

It is an arithmetic number, because the mean of its divisors is an integer number (10407015).

Almost surely, 2^315499560 is an apocalyptic number.

315499560 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 315499560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499536720).

315499560 is an abundant number, since it is smaller than the sum of its proper divisors (683573880).

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

315499560 is a wasteful number, since it uses less digits than its factorization.

315499560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 315499560 is about 17762.3072825576. The cubic root of 315499560 is about 680.7687096886.

The spelling of 315499560 in words is "three hundred fifteen million, four hundred ninety-nine thousand, five hundred sixty".