318507840 has 504 divisors, whose sum is σ = 1330296552. Its totient is φ = 69672960.

The previous prime is 318507823. The next prime is 318507859. The reversal of 318507840 is 48705813.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 299428416 = 4368^2 + 17304^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 318507795 and 318507804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5221410 + ... + 5221470.

Almost surely, 2^318507840 is an apocalyptic number.

318507840 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 318507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665148276).

318507840 is an abundant number, since it is smaller than the sum of its proper divisors (1011788712).

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

318507840 is a wasteful number, since it uses less digits than its factorization.

318507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 318507840 is about 17846.7879462944. The cubic root of 318507840 is about 682.9255728432.

The spelling of 318507840 in words is "three hundred eighteen million, five hundred seven thousand, eight hundred forty".