600412320 has 288 divisors, whose sum is σ = 2151152640. Its totient is φ = 152340480.

The previous prime is 600412303. The next prime is 600412339. The reversal of 600412320 is 23214006.

It is a happy number.

600412320 is a `hidden beast` number, since 600 + 41 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 600412293 and 600412302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3143425 + ... + 3143615.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^600412320 is an apocalyptic number.

600412320 is a gapful number since it is divisible by the number (60) 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 600412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

600412320 is an abundant number, since it is smaller than the sum of its proper divisors (1550740320).

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

600412320 is a wasteful number, since it uses less digits than its factorization.

600412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 600412320 is about 24503.3124291390. The cubic root of 600412320 is about 843.6258233716.

Adding to 600412320 its reverse (23214006), we get a palindrome (623626326).

The spelling of 600412320 in words is "six hundred million, four hundred twelve thousand, three hundred twenty".