315144450 has 288 divisors, whose sum is σ = 974937600. Its totient is φ = 72576000.

The previous prime is 315144439. The next prime is 315144523. The reversal of 315144450 is 54441513.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 7686430 + ... + 7686470.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^315144450 is an apocalyptic number.

315144450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

315144450 is an abundant number, since it is smaller than the sum of its proper divisors (659793150).

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

315144450 is a wasteful number, since it uses less digits than its factorization.

315144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 315144450 is about 17752.3083006126. The cubic root of 315144450 is about 680.5132011095.

Adding to 315144450 its reverse (54441513), we get a palindrome (369585963).

The spelling of 315144450 in words is "three hundred fifteen million, one hundred forty-four thousand, four hundred fifty".