315494144 has 72 divisors (see below), whose sum is σ = 734613600. Its totient is φ = 135174144.

The previous prime is 315494131. The next prime is 315494147. The reversal of 315494144 is 441494513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315494147) 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 7 ways as a sum of consecutive naturals, for example, 86012 + ... + 89604.

Almost surely, 2^315494144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367306800).

315494144 is an abundant number, since it is smaller than the sum of its proper divisors (419119456).

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

315494144 is an frugal number, since it uses more digits than its factorization.

315494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3602 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 315494144 is about 17762.1548242323. The cubic root of 315494144 is about 680.7648142110.

The spelling of 315494144 in words is "three hundred fifteen million, four hundred ninety-four thousand, one hundred forty-four".