201304566400 has 384 divisors, whose sum is σ = 579429164160. Its totient is φ = 67682304000.

The previous prime is 201304566391. The next prime is 201304566413. The reversal of 201304566400 is 4665403102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502006200 + ... + 502006600.

It is an arithmetic number, because the mean of its divisors is an integer number (1508930115).

Almost surely, 2^201304566400 is an apocalyptic number.

201304566400 is a gapful number since it is divisible by the number (20) 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 201304566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289714582080).

201304566400 is an abundant number, since it is smaller than the sum of its proper divisors (378124597760).

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

201304566400 is a wasteful number, since it uses less digits than its factorization.

201304566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 201304566400 its reverse (4665403102), we get a palindrome (205969969502).

The spelling of 201304566400 in words is "two hundred one billion, three hundred four million, five hundred sixty-six thousand, four hundred".