317742480 has 320 divisors, whose sum is σ = 1225635840. Its totient is φ = 74995200.

The previous prime is 317742449. The next prime is 317742487. The reversal of 317742480 is 84247713.

It is a happy number.

317742480 is a `hidden beast` number, since 3 + 177 + 4 + 2 + 480 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (317742487) 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, 1021525 + ... + 1021835.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^317742480 is an apocalyptic number.

317742480 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 317742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920).

317742480 is an abundant number, since it is smaller than the sum of its proper divisors (907893360).

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

317742480 is a wasteful number, since it uses less digits than its factorization.

317742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 317742480 is about 17825.3325354676. The cubic root of 317742480 is about 682.3781209728.

The spelling of 317742480 in words is "three hundred seventeen million, seven hundred forty-two thousand, four hundred eighty".