315255360 has 224 divisors, whose sum is σ = 1171602432. Its totient is φ = 70318080.

The previous prime is 315255313. The next prime is 315255371. The reversal of 315255360 is 63552513.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 288415 + ... + 289505.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2^315255360 is an apocalyptic number.

315255360 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 315255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585801216).

315255360 is an abundant number, since it is smaller than the sum of its proper divisors (856347072).

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

315255360 is a wasteful number, since it uses less digits than its factorization.

315255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 315255360 is about 17755.4318449313. The cubic root of 315255360 is about 680.5930236234.

It can be divided in two parts, 315255 and 360, that added together give a triangular number (315615 = T₇₉₄).

The spelling of 315255360 in words is "three hundred fifteen million, two hundred fifty-five thousand, three hundred sixty".