601405200 has 180 divisors, whose sum is σ = 2276924208. Its totient is φ = 145785600.

The previous prime is 601405193. The next prime is 601405201. The reversal of 601405200 is 2504106.

It is a happy number.

601405200 is a `hidden beast` number, since 6 + 0 + 140 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (601405201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32007 + ... + 47193.

Almost surely, 2^601405200 is an apocalyptic number.

601405200 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 601405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138462104).

601405200 is an abundant number, since it is smaller than the sum of its proper divisors (1675519008).

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

601405200 is a wasteful number, since it uses less digits than its factorization.

601405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 601405200 is about 24523.5641781532. The cubic root of 601405200 is about 844.0905917149.

Adding to 601405200 its reverse (2504106), we get a palindrome (603909306).

The spelling of 601405200 in words is "six hundred one million, four hundred five thousand, two hundred".