315270000 has 300 divisors, whose sum is σ = 1148182464. Its totient is φ = 80640000.

The previous prime is 315269959. The next prime is 315270001. The reversal of 315270000 is 72513.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315270001) 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 59 ways as a sum of consecutive naturals, for example, 2789944 + ... + 2790056.

Almost surely, 2^315270000 is an apocalyptic number.

315270000 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 315270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574091232).

315270000 is an abundant number, since it is smaller than the sum of its proper divisors (832912464).

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

315270000 is a wasteful number, since it uses less digits than its factorization.

315270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 315270000 is about 17755.8441083492. The cubic root of 315270000 is about 680.6035587100.

The spelling of 315270000 in words is "three hundred fifteen million, two hundred seventy thousand".