315262080 has 288 divisors, whose sum is σ = 1267510140. Its totient is φ = 71995392.

The previous prime is 315262069. The next prime is 315262121. The reversal of 315262080 is 80262513.

315262080 is a `hidden beast` number, since 31 + 5 + 2 + 620 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276623424 + 38638656 = 16632^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281682 + ... + 282798.

Almost surely, 2^315262080 is an apocalyptic number.

315262080 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 315262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633755070).

315262080 is an abundant number, since it is smaller than the sum of its proper divisors (952248060).

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

315262080 is a wasteful number, since it uses less digits than its factorization.

315262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 315262080 is about 17755.6210817870. The cubic root of 315262080 is about 680.5978594414.

The spelling of 315262080 in words is "three hundred fifteen million, two hundred sixty-two thousand, eighty".