601406208 has 360 divisors, whose sum is σ = 2035971168. Its totient is φ = 175177728.

The previous prime is 601406191. The next prime is 601406209. The reversal of 601406208 is 802604106.

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

It is not an unprimeable number, because it can be changed into a prime (601406209) 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 39 ways as a sum of consecutive naturals, for example, 6200016 + ... + 6200112.

Almost surely, 2^601406208 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 601406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017985584).

601406208 is an abundant number, since it is smaller than the sum of its proper divisors (1434564960).

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

601406208 is a wasteful number, since it uses less digits than its factorization.

601406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 601406208 is about 24523.5847298065. The cubic root of 601406208 is about 844.0910633009.

The spelling of 601406208 in words is "six hundred one million, four hundred six thousand, two hundred eight".