601304400 has 360 divisors, whose sum is σ = 2248740000. Its totient is φ = 148331520.

The previous prime is 601304383. The next prime is 601304413. The reversal of 601304400 is 4403106.

601304400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035526 + ... + 4035674.

It is an arithmetic number, because the mean of its divisors is an integer number (6246500).

Almost surely, 2^601304400 is an apocalyptic number.

601304400 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 601304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124370000).

601304400 is an abundant number, since it is smaller than the sum of its proper divisors (1647435600).

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

601304400 is a wasteful number, since it uses less digits than its factorization.

601304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

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

The square root of 601304400 is about 24521.5089258390. The cubic root of 601304400 is about 844.0434304523.

Adding to 601304400 its reverse (4403106), we get a palindrome (605707506).

The spelling of 601304400 in words is "six hundred one million, three hundred four thousand, four hundred".