315399840 has 384 divisors, whose sum is σ = 1213470720. Its totient is φ = 67350528.

The previous prime is 315399811. The next prime is 315399841. The reversal of 315399840 is 48993513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 315399792 and 315399801.

It is not an unprimeable number, because it can be changed into a prime (315399841) 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 63 ways as a sum of consecutive naturals, for example, 5345731 + ... + 5345789.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^315399840 is an apocalyptic number.

315399840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 17759×17760.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606735360).

315399840 is an abundant number, since it is smaller than the sum of its proper divisors (898070880).

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

315399840 is a wasteful number, since it uses less digits than its factorization.

315399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 315399840 is about 17759.4999929615. The cubic root of 315399840 is about 680.6969785698.

The spelling of 315399840 in words is "three hundred fifteen million, three hundred ninety-nine thousand, eight hundred forty".