315778240 has 112 divisors (see below), whose sum is σ = 785762208. Its totient is φ = 120766464.

The previous prime is 315778193. The next prime is 315778249. The reversal of 315778240 is 42877513.

It is a self number, because there is not a number n which added to its sum of digits gives 315778240.

It is not an unprimeable number, because it can be changed into a prime (315778249) 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 15 ways as a sum of consecutive naturals, for example, 729064 + ... + 729496.

It is an arithmetic number, because the mean of its divisors is an integer number (7015734).

Almost surely, 2^315778240 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 315778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392881104).

315778240 is an abundant number, since it is smaller than the sum of its proper divisors (469983968).

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

315778240 is a wasteful number, since it uses less digits than its factorization.

315778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 315778240 is about 17770.1502526006. The cubic root of 315778240 is about 680.9690911542.

The spelling of 315778240 in words is "three hundred fifteen million, seven hundred seventy-eight thousand, two hundred forty".