601406316 has 192 divisors, whose sum is σ = 1895040000. Its totient is φ = 161118720.

The previous prime is 601406303. The next prime is 601406353. The reversal of 601406316 is 613604106.

601406316 is a `hidden beast` number, since 601 + 40 + 6 + 3 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 601406316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2140096 + ... + 2140376.

It is an arithmetic number, because the mean of its divisors is an integer number (9870000).

Almost surely, 2^601406316 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 601406316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947520000).

601406316 is an abundant number, since it is smaller than the sum of its proper divisors (1293633684).

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

601406316 is a wasteful number, since it uses less digits than its factorization.

601406316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 601406316 is about 24523.5869317684. The cubic root of 601406316 is about 844.0911138280.

The spelling of 601406316 in words is "six hundred one million, four hundred six thousand, three hundred sixteen".