600426400 has 324 divisors, whose sum is σ = 1845479538. Its totient is φ = 190095360.

The previous prime is 600426371. The next prime is 600426401. The reversal of 600426400 is 4624006.

It can be written as a sum of positive squares in 9 ways, for example, as 226081296 + 374345104 = 15036^2 + 19348^2 .

It is not an unprimeable number, because it can be changed into a prime (600426401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11328774 + ... + 11328826.

Almost surely, 2^600426400 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 600426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922739769).

600426400 is an abundant number, since it is smaller than the sum of its proper divisors (1245053138).

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

600426400 is a wasteful number, since it uses less digits than its factorization.

600426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 600426400 is about 24503.5997355491. The cubic root of 600426400 is about 843.6324178170.

The spelling of 600426400 in words is "six hundred million, four hundred twenty-six thousand, four hundred".